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faltersainse [42]
2 years ago
15

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

Mathematics
2 answers:
Lisa [10]2 years ago
7 0

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

<h3>What are the Opposite Angles of a Parallelogram?</h3>

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°

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

Marina86 [1]2 years ago
4 0

Answer:

71°

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 Star and a Thanks :)

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