Angles

Problem 301

You start at a bearing of 30 degrees and turn left to 290 degrees. How many degrees did you turn?

See Solution

Problem 302

Identify the true properties of parallelograms from these options: A. Adjacent sides congruent, B. Opposite angles congruent, C. Opposite angles parallel, D. Opposite sides parallel, E. Consecutive angles supplementary, F. Diagonals bisect each other.

See Solution

Problem 303

Which quadrilaterals have opposite angles that are always congruent? Check all that apply: A. Parallelogram B. Square C. Quadrilateral D. Rhombus

See Solution

Problem 304

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

See Solution

Problem 305

Find the complement and supplement of an angle measuring $22^{\circ} 13^{\prime}$ .

See Solution

Problem 306

What is the angle in degrees that corresponds to $\frac{92}{360}$ of a full turn in a circle?

See Solution

Problem 307

Find $x$ . $x=$

See Solution

Problem 308

Find $m \angle H$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

See Solution

Problem 309

What is the value of $a$ ? $a=$

See Solution

Problem 310

Find $m \angle V$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

See Solution

Problem 311

Use the figure below to answer the question. What is the measure of angle $1+$ angle 2 ?

See Solution

Problem 312

Angle Pairs - Item 20549 One angle is $36^{\circ}$ . What is the measure of its complement? CLEAR $54^{\circ}$ $64^{\circ}$ $144^{\circ}$ $324^{\circ}$

See Solution

Problem 313

Trapezoid $U$ is a scaled copy of trapezoid $T$ .
Trapezoid T What is the value of $s$ ? $\square$ Submit

See Solution

Problem 314

Find the value of $x$ .

See Solution

Problem 315

Use the figure to complete each part. (a) Write two other names for $\angle Q M P$ . $\square$ and $\square$ (b) Name the vertex of $\angle P M N$ . $\square$ (c) Name the sides of $\angle 1$ . $\square$ and $\square$

See Solution

Problem 316

11. A line through $(3,5)$ and $(k, 12)$ is perpendicular to a line through $(0,7)$ and $(2,10)$ . Find the value of $k$ that makes the above statement true.

See Solution

Problem 317

i.

See Solution

Problem 318

$A B C$ гурвалжны $A$ оройг дайрсан шулуун $B C$ талыг $D$ цэгт огтолно. Хэрэв $\angle B A C=48^{\circ}$ ба $\measuredangle C A D=8^{\circ}$ бол $\measuredangle B A D$ өнцөг хэд байх вэ?

See Solution

Problem 319

A 127°

See Solution

Problem 320

4. Shown below is a quadrilateral.
Work out the size of the angle marked x .

See Solution

Problem 321

Класс еОВЛагерь Pernov́ Отряд
3

See Solution

Problem 322

A circle is centered on point $B$ . Points $A, C$ and $D$ lie on its circumference.
If $\angle A D C$ measures $62^{\circ}$ , what does $\angle A B C$ measure? $\square$

See Solution

Problem 323

2. Identify the special name for each angle pair. a) $\angle 2$ and $\angle 3$ b) $\angle 2$ and $\angle 5$ c) $\angle 2$ and $\angle 6$ d) $\angle 6$ and $\angle 3$ e) $\angle 1$ and $\angle 3$ f) $\angle 7$ and $\angle 14$

See Solution

Problem 324

o. A diagram is shown, where $k / f$ and $m$ Is a transversal.
Move statements and reasons to the table to prove that $<1 \equiv<5$ . \begin{tabular}{|l|l|} \hline Statements & \multicolumn{1}{|c|}{ Reasons } \\ \hline $1 . k \| I$ & 1. Given \\ \hline 2. & \begin{tabular}{l}
2. Corresponding angles \\ are congruent. \end{tabular} \\ \hline 3. & 3. \\ \hline $4 . \angle 1 \geqq \angle 5$ & 4. \\ \hline \end{tabular} $\angle 1 \cong \angle 2<1 \cong<3 \quad \angle 1 \cong<4 \quad<2 \leftleftarrows<3$ $\angle 2 \cong \angle 4 \quad \angle 2 \equiv \angle 5 \quad \angle 2 \cong \angle 6 \quad \angle 3 \equiv \angle 4$ $\angle 3 \cong \angle 5 \quad \angle 4 \cong \angle 5 \quad \angle 4 \cong \angle 6$ Transitive property Symmetric property Vertical angles are congruent. Straight angles form a linear pair. Corresponding angles are congruent. Alternate exterlor angles are congruent.

See Solution

Problem 325

Section 2: Angles of Triangles HOMEWORK
1. Find each measure. $\begin{array}{l} m \angle 1= \\ m \angle 2= \\ m \angle 3= \end{array}$
3. Find each measure. $\begin{array}{ll} m \angle 1= & m \angle 4= \\ m \angle 2= & m \angle 5= \\ m \angle 3= & \end{array}$

See Solution

Problem 326

A, B, C and D are four points on the circumference of a circle. TA is the tangent to the circle at A. Angle DAT $=30^{\circ}$ . Angle $\mathrm{ADC}=132^{\circ}$ . a) Calculate the size of angle ABC . Explain your method: b) Calculate the size of angle CBD. Explain your method. c) Explain why AC cannot be a diameter of the circle.

See Solution

Problem 327

Question Watch Video Show Examples $\triangle C N W$ can be mapped onto $\triangle T Y E$ by a reflection. If $\mathrm{m} \angle N=117^{\circ}$ , find $\mathrm{m} \angle T$ .
Answer Attempt 1 out of 2 $\mathrm{m} \angle T$ $\square$ be determined.
Submit Answer /005e4a159a8a0c010d7d877a3de375c0 Nov 22 11:12

See Solution

Problem 328

```latex \text{Determine which figure shows vertical angles.} \\ \text{a)} \\ \text{b)} \\ \text{c)} \\ \text{d)} \\ \text{e)} \\ \text{f)} \\
\text{Figure } \square \text{ shows vertical angles.} ```

See Solution

Problem 329

On a map, Haven Rd and Pine Rd are parallel, and Mills Rd is a transversal. How can the value of $x$ be determined?
Alternate exterior angles are supplementary, so $x=43^{\circ}$ .
Corresponding angles are supplementary, so $x=137^{\circ}$ .
Alternate exterior angles are congruent, so $x=137^{\circ}$ .
Corresponding angles are congruent, so $x=43^{\circ}$ .

See Solution

Problem 330

These figures are congruent. What is $m \angle V$ ?

See Solution

Problem 331

Regardless of how the graph is oriented in the standard $(x, y)$ coordinate plane, NO graph in one of the following categories has a vertical line of symmetry. Which one? F. Line G. Square H. Pentagon J. Parallelogram K. Scalene triangle

See Solution

Problem 332

AIVGLE RELATIONSHIPS STUDY GUIDE Solve each of the problems below. Be sure to ask questions if you need more help with a topic. ICANIDENIIFY ANGLE RELATIONSHPS WHEN PARALIE LINES ARE CUT BY TRANSVESALS. 8.80 Lines $X$ and $Y$ are parallel lines aut by transversal, $A$ . In $1-5$ , identify the type of angle relationship shown in the following pairs of angles.
1. Angle I and Angle 8 $\qquad$
2. Angle 6 and Angle 7 $\qquad$
3. Angle 8 and Angle 4 $\qquad$
4. Angle 3 and Angle 5 $\qquad$
5. Angle 1 and Angle 5 $\qquad$
Using the pioture above, identify whether the following poirs of angles are conaruent or

See Solution

Problem 333

I CAN USE FACTS ABOUT THE EXTERIOR ANGLES OF TRIANGLES TO SOLVE PROBLEMS. 8.8D
20. Four students wrote facts on their dry erase boards about the angle relationships in triangles using the diagram below. Which student wrote a statement that is not true?
CHELSEA BOBBY
KATIE $m \angle 1+m \angle 3=m \angle 5$
MARK $m \angle 2+m \angle 3=m \angle 4$
21. Find the value of $x$ . $x=$ $\qquad$
22. Find the measure of $\angle H T L$ .
23. Find the measure of $\angle C Y L$ .

See Solution

Problem 334

AIVGLE RELATIONSHIPS UNIT TEST Solve the problems below. Be sure to show your thinking. \begin{tabular}{l|l} \\ Use the parallel lines cut by a transversal & 1. Which of the following is not a true \\ \hline \end{tabular}
2. Which pair of angles is an example of supplementary angles? A. Angle 1 and Angle 7 B. Angle 3 and Angle 6 C. Angle 2 and Angle 7 D. Angle 1 and Angle 4 A. Angles 1 and 5 are corresponding angles. B. Angles 2 and 7 are alternate interior angles. C. Angles 5 and 8 are vertical angles. D. Angles 3 and 7 are corresponding angles.
3. Label the following statements as true or false: $\qquad$ a. $m \angle 3+m \angle 5=180$ $\qquad$ b. $m \angle 2+m \angle 6=180$

See Solution

Problem 335

4. Which equation could be used to find the value of $x$ in the triangle below? A. $12 x+20=180$ B. $12 x=180$ C. $12 x-20=180$ D. $8 x-10=4 x+10$
5. Find the $m \angle U L E$ in the triangle below.
6. In triangle $A B C, m \angle A=40^{\circ}$ and $m \angle B=80^{\circ}$ . Which of the following triangles is simitar to triangle $A B C$ ? A. $B$ . C. D.

See Solution

Problem 336

7. Which of the following is a true statement about the angles in the figure below? A. The $m \angle 3$ is $142^{\circ}$ . B. The $m \angle 1$ is $99^{\circ}$ . C. The $m \angle 2$ is $137^{\circ}$ . D. The $m \angle 4$ is $137^{\circ}$ .
9. Lines $A$ and $B$ are parallel lines. Find the measures of angles 1,2 and 3 . a. $m<1=$ $\qquad$ b. $m \angle 2=$ $\qquad$
8. Lines $A$ and $B$ are parallel lines cut by a transversal. Find the value of $x$ .
10. Which of the following describes two triangles that are similar to ane another? A. Triangle $1: m \angle 1=67^{\circ}, m \angle 2=15^{\circ}$ Triangle 2: $m \angle 1=15^{\circ}, m \angle 2=95^{\circ}$ B. Triangle $1: m \angle l=24^{\circ}, m \angle 2=101^{\circ}$
Triangle 2: $\mathrm{m} \angle 1=65^{\circ}, \mathrm{m} \angle 2=101^{\circ}$ C. Triangle $1: m \angle 1=45^{\circ}, m \angle 2=80^{\circ}$
Triangle 2: $m \angle 1=59^{\circ}, m \angle 2=45^{\circ}$ D. Triangle $1: \mathrm{m} \angle 1=71^{\circ}, \mathrm{m} \angle 2=32^{\circ}$
Triongle $2: m \angle 1=71^{\circ}, m \angle 2=77^{\circ}$

See Solution

Problem 337

4. Find the measure of $\angle B$ :-

See Solution

Problem 338

16. In the figure below, lines $A$ and $B$ are parallel.
Find the $m \angle 5$ if $m \angle 1=75^{\circ}$ and $m \angle 3=40^{\circ}$ . A. $34^{\circ}, 117^{\circ}$ and $29^{\circ}$ B. $31^{\circ}, 106^{\circ}$ and $43^{\circ}$ C. $37^{\circ}, 128^{\circ}$ and $15^{\circ}$ D. $29^{\circ}, 84^{\circ}$ and $67^{\circ}$

See Solution

Problem 339

The angle of depression to one side of a lake, measured from a balloon 2500 feet above the lake as shown in the accompanying figure, is $43^{\circ}$ . The angle of depression to the opposite side of the lake is $27^{\circ}$ . Find the width of the lake. a. 3605.101 ft b. 3957.735 ft c. 7237.814 ft d. 5787.778 ft

See Solution

Problem 340

ometry W. 12 Inscribed angles $98 U$
What is $m \angle T$ ?

See Solution

Problem 341

Convert the angle $22^{\circ} 42^{\prime}$ to decimal degrees.

See Solution

Problem 342

Convert the angle $-80^{\circ} 36^{\prime}$ to decimal degrees.

See Solution

Problem 343

Is this true? The degree measure of a minor arc equals the measure of its central angle. A. Yes B. No C. Maybe D. Sometimes E. Not applicable

See Solution

Problem 344

Find the smaller angle between clock hands at 1:25.

See Solution

Problem 345

Convert the angle $\alpha=73^{\circ} 39^{\prime} 16^{\prime \prime}$ to decimal degrees.

See Solution

Problem 346

Convert the angle $\alpha=18.8211^{\circ}$ to degrees, minutes, and seconds.

See Solution

Problem 347

For a regular 20-sided polygon, what is the rotation angle in degrees? Use the formula $\frac{360}{n}$ where $n = 20$ .

See Solution

Problem 348

Find the angle $b$ at the center of a circle with a 295-degree arc.

See Solution

Problem 349

Find the value of $z$ given $x = z$ , $x = 6k + 13$ , and $y = 8k - 29$ with lines $m$ and $n$ parallel.

See Solution

Problem 350

Find $x$ , $m<SQR>$ , and $m<PQT>$ given $PQT = 4x + 43$ and $SQR = 7x - 20$ are congruent.

See Solution

Problem 351

Find $x$ if angles $<R$ and $<S$ are complementary with $m<R=(9x-7)$ and $m<S=(7x+1)$ .

See Solution

Problem 352

Find the value of $x$ if angles $<R$ and $<S$ are complementary, with $m<R=(9x-7)$ and $m<S=(7x+1)$ .

See Solution

Problem 353

Draw the angle $150^{\circ}$ , find its reference angle, and identify the quadrant of its terminal side.

See Solution

Problem 354

Gregor drives up a $15^{\circ}$ hill for $5 \mathrm{~km}$ . What is the vertical rise? Round to the nearest metre.

See Solution

Problem 355

Find the value of $x$ in a triangle where an exterior angle is 144 degrees and one interior angle is 93 degrees.

See Solution

Problem 356

The supplement of an angle is 20 more than three times the angle. Find the measures of the angles.

See Solution

Problem 357

A man on a 150-ft building sees a car move with angles of depression $25^{\circ}$ and $45^{\circ}$ . Find the distance traveled.

See Solution

Problem 358

A boat travels at 40 knots on a course of $65^{\circ}$ for 2 hours, then $155^{\circ}$ for 4 hours. Find the distance and bearing from Fort Lauderdale.

See Solution

Problem 359

Find the smaller angle between clock hands at 5:25.

See Solution

Problem 360

Convert the angle $10^{\circ} 48^{\prime}$ to decimal degrees.

See Solution

Problem 361

Calculate $90^{\circ} - 41^{\circ} 57^{\prime}$ .

See Solution

Problem 362

10. Identify pairs of vertically opposite, adjacent, linear pair, complementary, and supplementary angles. Given $\angle 4=110^{\circ}$ and $\angle 5=120^{\circ}$ , find the others.
11. What is the angle that equals its complement?
12. What is the angle that equals its supplement?

See Solution

Problem 363

Find the complementary angles where one is $(3x-9)^\circ$ and the other is $(6x)^\circ$ . Their sum is $90^\circ$ .

See Solution

Problem 364

Find the supplementary angle if the smaller angle is $(12x+1)^\circ$ . Supplementary angles sum to $180^\circ$ .

See Solution

Problem 365

Find the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

See Solution

Problem 366

A ramp forms the angles shown to the right. What are the values of a and b ?
The value of $a$ is

See Solution

Problem 367

In the diagram, lines $\ell$ and $m$ are cut by transversals $n$ and $\rho$ .
Part A Enter the measure of $\angle 1$ . $\square$
Part B Enter the measure of $\angle 2$ . $\square$

See Solution

Problem 368

In parallelogram $H I J K$ , the measure of angle $H$ is $45^{\circ}$ . a. Find the measure of angle $J$ .
Type the answer in the box below.
Angle $J$ has a measure of $\square$ !.
Explain how you know. Type your response in the space below.
B $I$ U ■ 非 $1=$ $2=$
Type here

See Solution

Problem 369

(k) Prove that bisectors of any two adjacent angles of a parallelogram are at right (ii) Prove that bisectors of any two opposite angles of a parallelogram are parallel. (iii) If the diagonals of a quadrilateral are equal and bisect each other at right angles, then prove that it is a square. (i) If ABCD is a rectangle in which the diagonal BD bisects $\angle \mathrm{B}$ , then show that $A B C D$ is a square. (ii) Show that if the diagonals of a quadrilateral are equal and bisect each other a

See Solution

Problem 370

PROBEM Use your notes/slide from class to answer The FOLOWING questions abOUT THE POIYgon SHOWN AT THE RICHT.
AJ HOW WOULD YOU NAME II, BASED ON THE NUMBER OF SIDES?
BJ ISIT GONGAVE OR CONVEX?
CI IS II EQULAMEULAR? WHY OR WHY NOT?
DJ IS IT REGULAR? WHY OR WHY NOT?

See Solution

Problem 371

In triangle $D E F, m \angle E$ is three times $m \angle D$ , and $m \angle F$ is $9^{\circ}$ less than $m \angle E$ . What is the measure of each angle?
Find the $m<D=$ $\square$ Find the $m<E=$ $\square$ Find the $\mathrm{m}<\mathrm{F}=$ $\square$

See Solution

Problem 372

Drag the blocks to complete the proofs.
Statements 1) 2) $\angle 1 \cong \angle 8$ 3) 4) $\angle 8 \cong \angle 16$ 5)
Reasons 1) given 2) 3) given 4) 5) Transitive prop. $\cong$
Linked slide Corresponding Angles $<1 \triangleq<16$ a|lb clld
Alt Ext Angles

See Solution

Problem 373

Score: $4 / 5$ Penalty: 1 off
Question Show Examples $\angle 1$ and $\angle 2$ are vertical angles. If $\mathrm{m} \angle 1=(4 x+13)^{\circ}$ and $\mathrm{m} \angle 2=(7 x+4)^{\circ}$ , then find the value of $x$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

See Solution

Problem 374

Find the measure of $\angle 2$ given that $\mathrm{m} \angle 1=(2 x+29)^{\circ}$ and $\mathrm{m} \angle 2=(3 x-17)^{\circ}$ , where they are vertical angles.

See Solution

Problem 375

Find the value of $x$ if $\angle 1$ and $\angle 2$ are vertical angles with $\mathrm{m} \angle 1=(2x-2)^{\circ}$ and $\mathrm{m} \angle 2=(3x-15)^{\circ}$ .

See Solution

Problem 376

Find $x$ if $m \angle PQR = x + 9$ , $m \angle SQR = x - 3$ , and $m \angle PQS = 100$ .

See Solution

Problem 377

If $\triangle \mathrm{JKL} \cong \triangle PQR$ and $m<P=52$ , $m<Q=48$ , $m<R=80$ , find $m<K$ . A. Cannot be determined B. 80 C. 52 D. 48

See Solution

Problem 378

Find the measure of angle $\mathrm{DOT}$ if $\overrightarrow{\mathrm{OG}}$ bisects $\angle D O T$ , with $m \angle 1 = 6x + 41$ and $m \angle 2 = 9x - 1$ .

See Solution

Problem 379

Find $m \angle ABC$ if $m \angle ABC = 6x - 4$ , $m \angle CBD = 3x + 2$ , and $m \angle ABD = 34$ .

See Solution

Problem 380

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ . How many degrees in a line?

See Solution

Problem 381

If $\angle 1$ complements $\angle 2$ and $m \angle 1=23^{\circ}$ , what is $m \angle 2$ ?

See Solution

Problem 382

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ .

See Solution

Problem 383

How many degrees must a gate arm move from $42^{\circ}$ to reach a horizontal position?

See Solution

Problem 384

Copy angle ABC onto ray DE to create angle FDE. Draw ray DF, then use compass to create points J and F.

See Solution

Problem 385

What is the best definition of an angle?

See Solution

Problem 386

1. [\#241] Sailing - wind speed 1 poin
A sailor sailing due north at 5 knots observes an apparent wind moving at 5 knots directly from the boat's starboard (right hand) side, i.e. at $90^{\circ}$ to the axis of the boat. What is the 'true' wind speed? (i.e. what is the speed of the wind with respect to the ground?).
The 'true' wind speed is $\qquad$ knots.
Enter answer here

See Solution

Problem 387

$\frac{7}{8}$ of a revolution represents how many radians?

See Solution

Problem 388

10. How many degrees are there in: (a) three right angles (b) $\frac{4}{5}$ of a straight angle (c) $\frac{4}{5}$ of a complete angle (d) two straight angles
11. Construct each of the following angles with the help of a protractor. (a) $30^{\circ}$ (b) $72^{\circ}$ (c) $90^{\circ}$ (d) $115^{\circ}$ (e) $165^{\circ}$ (f) $23^{\circ}$ (g) $180^{\circ}$ (h) $45^{\circ}$

See Solution

Problem 389

Focus 1 Explain why vertically opposite angles are equal.

See Solution

Problem 390

Given the following information, determine which lines, if any, are parallel. State the theorem that justifies your answer. $\angle 1 \cong \angle 6$ A) $p \| q$ ; Converse of Corresponding Angles Theorem B) $p \| q$ ; Alternate Interior Angles Converse C) $g \| h$ ; Converse of Corresponding Angles Theorem D) $g \| h$ ; Alternate Interior Angles Converse

See Solution

Problem 391

A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the ground had tilted so that measurements of 3 points on the ground gave coordinates of $(0,0,0),(1,1,0)$ , and $(0,2,3)$ . By what angle does the tower now deviate from the vertical? $\square$ radians.

See Solution

Problem 392

Find $m$ if $\angle 1$ and $\angle 2$ are vertical angles with $m \angle 1=17x+1$ and $m \angle 2=20x-14$ .

See Solution

Problem 393

Convert the angle $\alpha=62^{\circ} 59^{\prime} 41^{\prime \prime}$ to decimal degrees.

See Solution

Problem 394

Convert the angle $38.32^{\circ}$ to degrees, minutes, and seconds.

See Solution

Problem 395

Convert the angle $\alpha=77.8211^{\circ}$ to degrees, minutes, and seconds.

See Solution

Problem 396

Find (a) the complement and (b) the supplement of the angle measuring $20^{\circ} 18^{\prime}$ .

See Solution

Problem 397

Angles $AXB$ and $BXC$ are supplementary. Find the measure of angle $AXB$ . Options: (A) $162^{\circ}$ (B) $146^{\circ}$ (C) $34^{\circ}$ (D) $18^{\circ}$

See Solution

Problem 398

$B D$ bisects $\angle A B C$ with $m \angle A B D=(8 x-1)^{\circ}$ and $m \angle D B C=(6 x+5)^{\circ}$ . Find $m \angle A B D$ .

See Solution

Problem 399

Find the value of $x+y+z+w$ given $\angle C = 140^\circ$ and angles $A$ , $B$ , $D$ , $E$ at intersection point $C$ .

See Solution

Problem 400

Given angles: $\angle B = 30^\circ$ , $\angle C = 125^\circ$ , find $x+y$ where $\angle A = y^\circ$ and $\angle D = x^\circ$ .

See Solution

1 2 3 4 5 6 7 8

Angles

Problem 301

You start at a bearing of 30 degrees and turn left to 290 degrees. How many degrees did you turn?

Problem 302

Identify the true properties of parallelograms from these options: A. Adjacent sides congruent, B. Opposite angles congruent, C. Opposite angles parallel, D. Opposite sides parallel, E. Consecutive angles supplementary, F. Diagonals bisect each other.

Problem 303

Which quadrilaterals have opposite angles that are always congruent? Check all that apply: A. Parallelogram B. Square C. Quadrilateral D. Rhombus

Problem 304

Find (a) the complement and (b) the supplement of an angle measuring 17∘15′17^{\circ} 15^{\prime}17∘15′.

Problem 305

Find the complement and supplement of an angle measuring 22∘13′22^{\circ} 13^{\prime}22∘13′.

Problem 306

What is the angle in degrees that corresponds to 92360\frac{92}{360}36092​ of a full turn in a circle?

Problem 307

Find xxx. x=x=x=

Problem 308

Find m∠Hm \angle Hm∠H.Write your answer as an integer or as a decimal rounded to the nearest tenth.

Problem 309

What is the value of aaa ? a=a=a=

Problem 310

Find m∠Vm \angle Vm∠V.Write your answer as an integer or as a decimal rounded to the nearest tenth.

Problem 311

Use the figure below to answer the question. What is the measure of angle 1+1+1+ angle 2 ?

Problem 312

Angle Pairs - Item 20549 One angle is 36∘36^{\circ}36∘. What is the measure of its complement? CLEAR 54∘54^{\circ}54∘ 64∘64^{\circ}64∘ 144∘144^{\circ}144∘ 324∘324^{\circ}324∘

Problem 313

Trapezoid UUU is a scaled copy of trapezoid TTT.Trapezoid T What is the value of sss ? □\square□ Submit

Problem 314

Find the value of xxx.

Problem 315

Use the figure to complete each part. (a) Write two other names for ∠QMP\angle Q M P∠QMP. □\square□ and □\square□ (b) Name the vertex of ∠PMN\angle P M N∠PMN. □\square□ (c) Name the sides of ∠1\angle 1∠1. □\square□ and □\square□

Problem 316

11. A line through (3,5)(3,5)(3,5) and (k,12)(k, 12)(k,12) is perpendicular to a line through (0,7)(0,7)(0,7) and (2,10)(2,10)(2,10). Find the value of kkk that makes the above statement true.

Problem 317

i.

Problem 318

Problem 319

A 127°

Problem 320

4. Shown below is a quadrilateral.Work out the size of the angle marked x .

Problem 321

Класс еОВЛагерь Pernov́ Отряд3

Problem 322

A circle is centered on point BBB. Points A,CA, CA,C and DDD lie on its circumference.If ∠ADC\angle A D C∠ADC measures 62∘62^{\circ}62∘, what does ∠ABC\angle A B C∠ABC measure? □\square□

Problem 323

2. Identify the special name for each angle pair. a) ∠2\angle 2∠2 and ∠3\angle 3∠3 b) ∠2\angle 2∠2 and ∠5\angle 5∠5 c) ∠2\angle 2∠2 and ∠6\angle 6∠6 d) ∠6\angle 6∠6 and ∠3\angle 3∠3 e) ∠1\angle 1∠1 and ∠3\angle 3∠3 f) ∠7\angle 7∠7 and ∠14\angle 14∠14

Problem 324

Problem 325

Problem 326

Problem 327

Problem 328

```latex \text{Determine which figure shows vertical angles.} \\ \text{a)} \\ \text{b)} \\ \text{c)} \\ \text{d)} \\ \text{e)} \\ \text{f)} \\\text{Figure } \square \text{ shows vertical angles.} ```

Problem 329

Problem 330

These figures are congruent. What is m∠Vm \angle Vm∠V ?

Problem 331

Regardless of how the graph is oriented in the standard (x,y)(x, y)(x,y) coordinate plane, NO graph in one of the following categories has a vertical line of symmetry. Which one? F. Line G. Square H. Pentagon J. Parallelogram K. Scalene triangle

Problem 332

Problem 333

Problem 334

Problem 335

Problem 336

Problem 337

4. Find the measure of ∠B\angle B∠B :-

Problem 338

Problem 339

Problem 340

ometry W. 12 Inscribed angles 98U98 U98UWhat is m∠Tm \angle Tm∠T ?

Problem 341

Convert the angle 22∘42′22^{\circ} 42^{\prime}22∘42′ to decimal degrees.

Problem 342

Convert the angle −80∘36′-80^{\circ} 36^{\prime}−80∘36′ to decimal degrees.

Problem 343

Is this true? The degree measure of a minor arc equals the measure of its central angle. A. Yes B. No C. Maybe D. Sometimes E. Not applicable

Problem 344

Find the smaller angle between clock hands at 1:25.

Problem 345

Convert the angle α=73∘39′16′′\alpha=73^{\circ} 39^{\prime} 16^{\prime \prime}α=73∘39′16′′ to decimal degrees.

Problem 346

Convert the angle α=18.8211∘\alpha=18.8211^{\circ}α=18.8211∘ to degrees, minutes, and seconds.

Find (a) the complement and (b) the supplement of an angle measuring $17^{\circ} 15^{\prime}$ .

Find the complement and supplement of an angle measuring $22^{\circ} 13^{\prime}$ .

What is the angle in degrees that corresponds to $\frac{92}{360}$ of a full turn in a circle?

Find $x$ . $x=$

Find $m \angle H$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

What is the value of $a$ ? $a=$

Find $m \angle V$ .
Write your answer as an integer or as a decimal rounded to the nearest tenth.

Use the figure below to answer the question. What is the measure of angle $1+$ angle 2 ?

Angle Pairs - Item 20549 One angle is $36^{\circ}$ . What is the measure of its complement? CLEAR $54^{\circ}$ $64^{\circ}$ $144^{\circ}$ $324^{\circ}$

Trapezoid $U$ is a scaled copy of trapezoid $T$ .
Trapezoid T What is the value of $s$ ? $\square$ Submit

Find the value of $x$ .

Use the figure to complete each part. (a) Write two other names for $\angle Q M P$ . $\square$ and $\square$ (b) Name the vertex of $\angle P M N$ . $\square$ (c) Name the sides of $\angle 1$ . $\square$ and $\square$

11. A line through $(3,5)$ and $(k, 12)$ is perpendicular to a line through $(0,7)$ and $(2,10)$ . Find the value of $k$ that makes the above statement true.

4. Shown below is a quadrilateral.
Work out the size of the angle marked x .

Класс еОВЛагерь Pernov́ Отряд
3

A circle is centered on point $B$ . Points $A, C$ and $D$ lie on its circumference.
If $\angle A D C$ measures $62^{\circ}$ , what does $\angle A B C$ measure? $\square$

2. Identify the special name for each angle pair. a) $\angle 2$ and $\angle 3$ b) $\angle 2$ and $\angle 5$ c) $\angle 2$ and $\angle 6$ d) $\angle 6$ and $\angle 3$ e) $\angle 1$ and $\angle 3$ f) $\angle 7$ and $\angle 14$

```latex \text{Determine which figure shows vertical angles.} \\ \text{a)} \\ \text{b)} \\ \text{c)} \\ \text{d)} \\ \text{e)} \\ \text{f)} \\
\text{Figure } \square \text{ shows vertical angles.} ```

These figures are congruent. What is $m \angle V$ ?

Regardless of how the graph is oriented in the standard $(x, y)$ coordinate plane, NO graph in one of the following categories has a vertical line of symmetry. Which one? F. Line G. Square H. Pentagon J. Parallelogram K. Scalene triangle

4. Find the measure of $\angle B$ :-

ometry W. 12 Inscribed angles $98 U$
What is $m \angle T$ ?

Convert the angle $22^{\circ} 42^{\prime}$ to decimal degrees.

Convert the angle $-80^{\circ} 36^{\prime}$ to decimal degrees.

Convert the angle $\alpha=73^{\circ} 39^{\prime} 16^{\prime \prime}$ to decimal degrees.

Convert the angle $\alpha=18.8211^{\circ}$ to degrees, minutes, and seconds.

For a regular 20-sided polygon, what is the rotation angle in degrees? Use the formula $\frac{360}{n}$ where $n = 20$ .

Find the angle $b$ at the center of a circle with a 295-degree arc.

Find the value of $z$ given $x = z$ , $x = 6k + 13$ , and $y = 8k - 29$ with lines $m$ and $n$ parallel.

Find $x$ , $m<SQR>$ , and $m<PQT>$ given $PQT = 4x + 43$ and $SQR = 7x - 20$ are congruent.

Find $x$ if angles $<R$ and $<S$ are complementary with $m<R=(9x-7)$ and $m<S=(7x+1)$ .

Find the value of $x$ if angles $<R$ and $<S$ are complementary, with $m<R=(9x-7)$ and $m<S=(7x+1)$ .

Draw the angle $150^{\circ}$ , find its reference angle, and identify the quadrant of its terminal side.

Gregor drives up a $15^{\circ}$ hill for $5 \mathrm{~km}$ . What is the vertical rise? Round to the nearest metre.

Find the value of $x$ in a triangle where an exterior angle is 144 degrees and one interior angle is 93 degrees.

A man on a 150-ft building sees a car move with angles of depression $25^{\circ}$ and $45^{\circ}$ . Find the distance traveled.

A boat travels at 40 knots on a course of $65^{\circ}$ for 2 hours, then $155^{\circ}$ for 4 hours. Find the distance and bearing from Fort Lauderdale.

Convert the angle $10^{\circ} 48^{\prime}$ to decimal degrees.

Calculate $90^{\circ} - 41^{\circ} 57^{\prime}$ .

Find the complementary angles where one is $(3x-9)^\circ$ and the other is $(6x)^\circ$ . Their sum is $90^\circ$ .

Find the supplementary angle if the smaller angle is $(12x+1)^\circ$ . Supplementary angles sum to $180^\circ$ .

Find the supplementary angle if one angle is $(17x+5)$ degrees. Their sum is $180^{\circ}$ .

A ramp forms the angles shown to the right. What are the values of a and b ?
The value of $a$ is

In the diagram, lines $\ell$ and $m$ are cut by transversals $n$ and $\rho$ .
Part A Enter the measure of $\angle 1$ . $\square$
Part B Enter the measure of $\angle 2$ . $\square$

In parallelogram $H I J K$ , the measure of angle $H$ is $45^{\circ}$ . a. Find the measure of angle $J$ .
Type the answer in the box below.
Angle $J$ has a measure of $\square$ !.
Explain how you know. Type your response in the space below.
B $I$ U ■ 非 $1=$ $2=$
Type here

PROBEM Use your notes/slide from class to answer The FOLOWING questions abOUT THE POIYgon SHOWN AT THE RICHT.
AJ HOW WOULD YOU NAME II, BASED ON THE NUMBER OF SIDES?
BJ ISIT GONGAVE OR CONVEX?
CI IS II EQULAMEULAR? WHY OR WHY NOT?
DJ IS IT REGULAR? WHY OR WHY NOT?

Find the measure of $\angle 2$ given that $\mathrm{m} \angle 1=(2 x+29)^{\circ}$ and $\mathrm{m} \angle 2=(3 x-17)^{\circ}$ , where they are vertical angles.