Math / Geometry

QuestionNote: Figure is not drawn to scale.
If $m \angle 1+m \angle 3=150^{\circ}$ , what is $m \angle 2$ ? A. $120^{\circ}$ B. $30^{\circ}$ C. $152^{\circ}$ D. $33^{\circ}$

Studdy Solution

STEP 1

What is this asking? If two angles of a triangle add up to 150 degrees, what's the third angle? Watch out! Don't forget all the angles in a triangle always add up to 180 degrees!

STEP 2

1. Find the Total Angle Sum
2. Find the Missing Angle

STEP 3

We know that all the angles in any triangle add up to a magical 180 degrees!
This is a fundamental fact about triangles, so let's write it down: $\angle 1 + \angle 2 + \angle 3 = 180^\circ$

STEP 4

We're given that $\angle 1 + \angle 3 = 150^\circ$ .
Let's strategically substitute this information into our equation from the previous step: $150^\circ + \angle 2 = 180^\circ$

STEP 5

Now, we want to find $\angle 2$ , so let's isolate it!
We can do this by adding $-150^\circ$ to both sides of the equation.
This keeps everything balanced while getting us closer to our goal: $150^\circ + \angle 2 + (-150^\circ) = 180^\circ + (-150^\circ)$

STEP 6

Simplifying, we get: $\angle 2 = 30^\circ$

STEP 7

So, the measure of $\angle 2$ is $\mathbf{30^\circ}$ !
That's option B!

Was this helpful?

QuestionNote: Figure is not drawn to scale.
If $m \angle 1+m \angle 3=150^{\circ}$ , what is $m \angle 2$ ? A. $120^{\circ}$ B. $30^{\circ}$ C. $152^{\circ}$ D. $33^{\circ}$

Studdy Solution

STEP 1

What is this asking? If two angles of a triangle add up to 150 degrees, what's the third angle? Watch out! Don't forget all the angles in a triangle always add up to 180 degrees!

STEP 2

1. Find the Total Angle Sum
2. Find the Missing Angle

STEP 3

We know that all the angles in any triangle add up to a magical 180 degrees!
This is a fundamental fact about triangles, so let's write it down: $\angle 1 + \angle 2 + \angle 3 = 180^\circ$

STEP 4

We're given that $\angle 1 + \angle 3 = 150^\circ$ .
Let's strategically substitute this information into our equation from the previous step: $150^\circ + \angle 2 = 180^\circ$

STEP 5

Now, we want to find $\angle 2$ , so let's isolate it!
We can do this by adding $-150^\circ$ to both sides of the equation.
This keeps everything balanced while getting us closer to our goal: $150^\circ + \angle 2 + (-150^\circ) = 180^\circ + (-150^\circ)$

STEP 6

Simplifying, we get: $\angle 2 = 30^\circ$

STEP 7

So, the measure of $\angle 2$ is $\mathbf{30^\circ}$ !
That's option B!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionNote: Figure is not drawn to scale.If m∠1+m∠3=150∘m \angle 1+m \angle 3=150^{\circ}m∠1+m∠3=150∘, what is m∠2m \angle 2m∠2 ? A. 120∘120^{\circ}120∘ B. 30∘30^{\circ}30∘ C. 152∘152^{\circ}152∘ D. 33∘33^{\circ}33∘

Studdy Solution

STEP 1

What is this asking? If two angles of a triangle add up to 150 degrees, what's the third angle? Watch out! Don't forget all the angles in a triangle *always* add up to 180 degrees!

STEP 2

1. Find the Total Angle Sum2. Find the Missing Angle

STEP 3

We know that all the angles in *any* triangle add up to a **magical** 180 degrees!This is a **fundamental fact** about triangles, so let's write it down: ∠1+∠2+∠3=180∘ \angle 1 + \angle 2 + \angle 3 = 180^\circ ∠1+∠2+∠3=180∘

STEP 4

We're given that ∠1+∠3=150∘\angle 1 + \angle 3 = 150^\circ∠1+∠3=150∘.Let's **strategically** substitute this information into our equation from the previous step: 150∘+∠2=180∘ 150^\circ + \angle 2 = 180^\circ 150∘+∠2=180∘

STEP 5

STEP 6

Simplifying, we get: ∠2=30∘ \angle 2 = 30^\circ ∠2=30∘

STEP 7

So, the measure of ∠2\angle 2∠2 is 30∘\mathbf{30^\circ}30∘!That's option B!

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionNote: Figure is not drawn to scale.
If $m \angle 1+m \angle 3=150^{\circ}$ , what is $m \angle 2$ ? A. $120^{\circ}$ B. $30^{\circ}$ C. $152^{\circ}$ D. $33^{\circ}$

What is this asking? If two angles of a triangle add up to 150 degrees, what's the third angle? Watch out! Don't forget all the angles in a triangle always add up to 180 degrees!

1. Find the Total Angle Sum
2. Find the Missing Angle

We know that all the angles in any triangle add up to a magical 180 degrees!
This is a fundamental fact about triangles, so let's write it down: $\angle 1 + \angle 2 + \angle 3 = 180^\circ$

We're given that $\angle 1 + \angle 3 = 150^\circ$ .
Let's strategically substitute this information into our equation from the previous step: $150^\circ + \angle 2 = 180^\circ$

Simplifying, we get: $\angle 2 = 30^\circ$

So, the measure of $\angle 2$ is $\mathbf{30^\circ}$ !
That's option B!