Question

Diagonals of a parallelogram WXYZ intersect each other at point O. If angle XYZ=135°then what is the measure of angle XWZ &angle YZW? If length OY=5cm then length WY=?​

Answer 1

In a parallelogram, diagonal bisect each other  

∴OY=OW=5cm

∠XYZ+∠YZW=180  

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 [∴ interior angles]

135  

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+∠YZW=180  

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∠YZW=45  

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In a parallelogram, opposite angles are equal

∠XYZ=∠XWZ=135  

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and OY = 5 cm then WY = OY + OW

5+5=10cm [opposite diagonal]

please mark as brainliest answer

Answer 2

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