Question

In the quadrilateral below, the diagonal XZ also forms the bisector of ZWXY. ZXWZ = 68° and ZXYZ=106. Write the value of ZWZX. W 68° N ? 11 106° Х​

Answer 1

R.E.F.Image.

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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