176k views
0 votes
I need help finding the angles . i dont understand .

I need help finding the angles . i dont understand .-example-1
User Fruzer
by
7.9k points

1 Answer

3 votes

5.

The angles ∠1 and 112° are vertical angles, therefore they are congruent.

So we have ∠1 = 112°

Angles ∠1 and ∠3 are corresponding angles, therefore they are congruent.

So we have ∠3 = 112°

Angles ∠2 and ∠3 are supplementary angles, so we have:


\begin{gathered} \angle2+112\degree=180\degree \\ \angle2=68\degree \end{gathered}

6.

Angles ∠1 and 45° are corresponding angles, therefore they are congruent.

So we have ∠1 = 45°

Angles ∠1 and ∠2 are corresponding angles, therefore they are congruent.

So we have ∠2 = 45°

Angles 45° and ∠3 are consecutive interior angles, therefore they are supplementary.

So we have:


\begin{gathered} \angle3+45=180 \\ \angle3=145\degree \end{gathered}

User Barrette
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories