Question

In the figure below, MN | KL and are intersected by transversals ML and KN M 1551 What is the measure of , XMN?

130°
85°
55°
50°​

Answer 1

∠ XMN = 50°

Explanation:

∠ XNM and ∠ XKL are alternate angles and are congruent, then

∠ XNM = 35°

The sum of the 3 angles in a triangle = 180° , so

∠ XMN = 180° - (95 + 35)° = 180° - 130° = 50°