Question

Find the measure of angle XAZ in the figure below.

Answer 1

m∠XAZ = 40°

Explanation:

Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.

Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°

50° + 90° + m∠XAZ = 180°

m∠XAZ = 180° - 140°

= 40°

Therefore, measure of angle XAZ is 40°.