Math / Geometry

QuestionFind the values of $x$ and $y$ .

Studdy Solution

STEP 1

1. The problem involves intersecting lines, creating vertical angles and supplementary angles.
2. Vertical angles are congruent, meaning they are equal in measure.
3. Adjacent angles formed by intersecting lines add up to $180^\circ$ because they are supplementary.

STEP 2

1. Use the property of vertical angles to find the measure of $y$ .
2. Use the property of supplementary angles to find the measure of $x$ .

STEP 3

Identify that the angle labeled $44^\circ$ and the angle labeled $y^\circ$ are vertical angles.
$y^\circ = 44^\circ$

STEP 4

Recognize that $x^\circ$ and $44^\circ$ are adjacent angles formed by intersecting lines, and therefore, they are supplementary.
$x^\circ + 44^\circ = 180^\circ$

STEP 5

Solve for $x$ by subtracting $44^\circ$ from $180^\circ$ .
$x = 180^\circ - 44^\circ$ $x = 136^\circ$

STEP 6

Summarize the values found for $x$ and $y$ .
$x = 136^\circ \quad \text{and} \quad y = 44^\circ$

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QuestionFind the values of $x$ and $y$ .

Studdy Solution

STEP 1

1. The problem involves intersecting lines, creating vertical angles and supplementary angles.
2. Vertical angles are congruent, meaning they are equal in measure.
3. Adjacent angles formed by intersecting lines add up to $180^\circ$ because they are supplementary.

STEP 2

1. Use the property of vertical angles to find the measure of $y$ .
2. Use the property of supplementary angles to find the measure of $x$ .

STEP 3

Identify that the angle labeled $44^\circ$ and the angle labeled $y^\circ$ are vertical angles.
$y^\circ = 44^\circ$

STEP 4

Recognize that $x^\circ$ and $44^\circ$ are adjacent angles formed by intersecting lines, and therefore, they are supplementary.
$x^\circ + 44^\circ = 180^\circ$

STEP 5

Solve for $x$ by subtracting $44^\circ$ from $180^\circ$ .
$x = 180^\circ - 44^\circ$ $x = 136^\circ$

STEP 6

Summarize the values found for $x$ and $y$ .
$x = 136^\circ \quad \text{and} \quad y = 44^\circ$

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QuestionFind the values of xxx and yyy.

Studdy Solution

STEP 1

1. The problem involves intersecting lines, creating vertical angles and supplementary angles.2. Vertical angles are congruent, meaning they are equal in measure.3. Adjacent angles formed by intersecting lines add up to 180∘180^\circ180∘ because they are supplementary.

STEP 2

1. Use the property of vertical angles to find the measure of yyy.2. Use the property of supplementary angles to find the measure of xxx.

STEP 3

Identify that the angle labeled 44∘44^\circ44∘ and the angle labeled y∘y^\circy∘ are vertical angles.y∘=44∘ y^\circ = 44^\circ y∘=44∘

STEP 4

Recognize that x∘x^\circx∘ and 44∘44^\circ44∘ are adjacent angles formed by intersecting lines, and therefore, they are supplementary.x∘+44∘=180∘ x^\circ + 44^\circ = 180^\circ x∘+44∘=180∘

STEP 5

Solve for xxx by subtracting 44∘44^\circ44∘ from 180∘180^\circ180∘.x=180∘−44∘ x = 180^\circ - 44^\circ x=180∘−44∘ x=136∘ x = 136^\circ x=136∘

STEP 6

Summarize the values found for xxx and yyy.x=136∘andy=44∘ x = 136^\circ \quad \text{and} \quad y = 44^\circ x=136∘andy=44∘

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QuestionFind the values of $x$ and $y$ .

1. The problem involves intersecting lines, creating vertical angles and supplementary angles.
2. Vertical angles are congruent, meaning they are equal in measure.
3. Adjacent angles formed by intersecting lines add up to $180^\circ$ because they are supplementary.

1. Use the property of vertical angles to find the measure of $y$ .
2. Use the property of supplementary angles to find the measure of $x$ .

Identify that the angle labeled $44^\circ$ and the angle labeled $y^\circ$ are vertical angles.
$y^\circ = 44^\circ$

Recognize that $x^\circ$ and $44^\circ$ are adjacent angles formed by intersecting lines, and therefore, they are supplementary.
$x^\circ + 44^\circ = 180^\circ$

Solve for $x$ by subtracting $44^\circ$ from $180^\circ$ .
$x = 180^\circ - 44^\circ$ $x = 136^\circ$

Summarize the values found for $x$ and $y$ .
$x = 136^\circ \quad \text{and} \quad y = 44^\circ$