Answer/Step-by-step explanation:
Given:
m<6 = 40°
Required:
Measure of all the other numbered angles
Solution:
Since line a is parallel to line b, therefore:
✔️m<1 = 180° - m<6 (supplementary angles)
m<1 = 180° - 40° (substitution)
m<1 = 140°
✔️m<2 = m<6 (corresponding angles)
m<2 = 40° (substitution)
m<3 = 180° - m<6 (same side interior angles are supplementary)
m<3 = 180° - 40° (substitution)
m<3 = 140°
✔️m<4 = m<6 (alternate interior angle)
m<4 = 40°
✔️m<5 = 180° - m<6 (linear pair)
m<5 = 180° - 40°
m<5 = 140°
✔️m<7 = m<5 (vertical angles)
m<7 = 140°
✔️m<8 = m<6 (vertical angles)
m<8 = 40°
