Question

In kite WXYZ, m∠ZWY=41∘ and m∠XYW=11∘.

What is m∠WZY?

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Answer 1

Applying the properties of a kite, m∠WZY = 128°.

Properties of a Kite

• The diagonals of a kite bisect each other perpendicularly.
• The main diagonal bisects the opposite angles.

Given:

m∠ZWY=41∘

m∠XYW=11∘

m∠WZY = (180 - 90 - 41) + (180 - 90 - 11)

m∠WZY = 49 + 79

m∠WZY = 128°

Therefore, applying the properties of a kite, m∠WZY = 128°.

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