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question 5
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which are the correct measures for <yxz and <xzy?
select one:
a. <yxz = 52°, <xzy = 77°
b. <yxz = 62°, <xzy = 87°
c. <yxz = 77°, <xzy = 52°
d. <yxz = 52°, <xzy = 87°

Explanation:

Step1: Find measure of ∠YXZ

∠WXY and ∠YXZ are supplementary (linear - pair). So, ∠YXZ=180° - 128° = 52°.

Step2: Find measure of ∠XZY

In triangle XYZ, we know ∠Y = 51° and ∠YXZ = 52°. Using the angle - sum property of a triangle (the sum of interior angles of a triangle is 180°), ∠XZY=180°-(51° + 52°)=77°.

Answer:

A. ∠YXZ = 52°, ∠XZY = 77°