Question

In parallelogram WXYZ, with diagonal XZ, m∠WXZ = 81° and m∠WZX = 28°. What is the measure of ∠XYZ?

A.

62°

B.

90°

C.

71°

D.

109°

Answer 1

The measure of angle XYZ in the parallelogram is: 71°.

What are the Opposite Angles of a Parallelogram?

In a parallelogram, the angles that are opposite each other are congruent.

Find m∠XWZ using the triangle sum theorem:

m∠XWZ = 180 - m∠WXZ - m∠WZX

m∠XWZ = 180 - 81 - 28

m∠XWZ = 71°

m∠XWZ = m∠XYZ [opposite angles are congruent]

m∠XYZ = 71°

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Answer 2

Answer:

71°

Step-by-step explanation:

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