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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