Answer:
m<1 = 48°
m<2 = 132°
m<3 = 132°
m<5 = 48°
Step-by-step explanation:
Given:
m<4 = 48°
Required:
m<1, m<2, m<3, and m<5
Solution:
m<1 = m<4 (alternate exterior angles are congruent)
m<1 = 48° (substitution)
m<2 = 180° - (m<1) (linear pair theorem)
m<2 = 180° - 48° (substitution)
m<2 = 132°
m<3 = m<2 (alternate interior angles are congruent)
m<3 = 132° (substitution)
m<5 = m<4 (corresponding angles are congruent)
m<5 = 48° (substitution)