Question

Find the measure of each angel if m angle 8 = 115º

Answer 1

Lines p and q are parallel.
Corresponding angles are congruent.
Each two adjacent angles are supplementary.
Vertical angles are congruent.

Angles 7 and 8 are adjacent, supplementary angles.
m<7 + m<8 = 180
m<7 + 115 = 180
m<7 = 65

Angles 6 and 8 are corresponding angles and congruent.
m<6 = m<8
m<6 = 115

Angles 1 and 6 are vertical angles and congruent.
m<1 = m<6
m<1 = 115