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Find the measure of angle XAZ in the figure below.

Find the measure of angle XAZ in the figure below.-example-1

1 Answer

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Answer:

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°.

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User Candost
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