74.6k views
0 votes
Find the measure of the missing angles.

Find the measure of the missing angles.-example-1
User Mehulkumar
by
8.3k points

1 Answer

5 votes
m∠g=113° by the Vertical Angles Theorem

m∠k=125° by the Vertical Angles Theorem

Finding m∠h:

Because angle h is adjacent to angle g, and both angles lie on a straight line (180°), the sum of angle h and angle g is 180. We know the measure of angle g, so we can solve for h:

m∠g+m∠h=180°

Substitute in the measure of angle g:

(113)+m∠h=180

Subtract 113 from 180:

m∠h=180-113

m∠h=67°

Finding m∠m:

m∠k+ m∠m=180

Substitute the measurement in for m∠k:

(125)+m∠m=180

Subtract 125 from both sides:

m∠m=180-125

m∠m=55°

User Itub
by
8.5k 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