Question

If n ∥ m, which of the following statements are true? Select all that apply.

Answer 1

B. m<3 = 100°

C. m<2 + m<4 = 80°

Explanation:

Given that n is parallel to m, the following are the measure of each numbered angles:

m<1 = 60° (vertical angles are congruent)

m<2 = 20° (corresponding angles are congruent)

m<3 = 180 - (m<CAB + m<1) (sum of ∆)

m<3 = 180 - (20° + 60°)

m<3 = 100°

m<4 = 60° (corresponding angles are congruent)

Therefore, the following statements are TRUE:

B. m<3 = 100°

C. m<2 + m<4 = 80°