diagonals of a parallelogram wxyz intersect each other at point o. if XYZ=135 then find what is the measure of angle xwz and angle yzw? if l(oy)=5cm then l(wy)=?
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Answer:
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Step-by-step explanation:
In a parallelogram, diagonal bisect each other
∴OY=OW=5cm
∠XYZ+∠YZW=180
∘
[∴ interior angles]
135
∘
+∠YZW=180
∘
∠YZW=45
∘
In a parallelogram, opposite angles are equal
∠XYZ=∠XWZ=135
∘
and OY = 5 cm then WY = OY + OW
5+5=10cm [opposite diagonal]
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2
Step-by-step explanation:
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