Question

Diagonals of a parallelogram WXYZ intersect each other at point O. If I(OY)=5 cm then /(WY)= ? slove​

Answer 1

Answer:

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Answer 2

Answer:

In a parallelogram, opposite angles are

congruent.

Concept

<XYZ = <XWZ = 135°

Also, WX || ZY

So, <YZW + <XWZ = 180°

(Since, interior angles on the same side of the transversal are supplementary)

<YZW + 135° = 180°

<YZW = 180° - 135°

<YZW = 45°

Now I(OY) = 5

we know that diagonals of a parallelogram

bisect each other.

So, I(WY) = 2 xOY = 2 × 5 = 10 cm.