Question

quadrilateral question of practice set 5.1
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Answer 1

<XYZ = 135° ...(Given)

<XYZ = <XWZ ...(Opp angles of a parallelogram)

< XWZ = 135°

<XYZ + < YZW ...(Adjacent angles of a parallelogram aresupplementary)

135° + < YZW = 180°

<YZW = 180° - 135°

< YZW = 45°

OY = 1/2 WY ...(Diagonals of a parallelogram bisect each other )

5 = 1/2 WY

WY = 5 × 2

WY = 10 cm

l(WY) = 10cm

Ans . < XWZ = 135° , < YZW = 45° , l(WY) = 10 cm