Question

How do you find the measure of each angle of m<8=115

Answer 1

1. 65 deg

2. 115 deg

3. 115 deg

Explanation:

1.

Angles 7 and 8 are supplementary. Their measures add to 180 deg.

m<7 + m<8 = 180

m<7 + 115 = 180

m<7 = 180 - 115

m<7 = 65

2.

Since lines p and q are parallel lines cut by a transversal, corresponding angles 6 and 8 are congruent.

m<6 = m<8

m<6 = 115

3.

Angles 1 and 6 are vertical angles, so they are congruent.

m<1 = m<6

m<1 = 115

Answer 2

You would do 180 - 115 and that gives you the < for 7