In quadrilateral it is given that and

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

In quadrilateral

WXYZ

it is given that

WX = YZ

and

\angle WXY = \angle XYZ

. (i) Prove that

WX \parallel YZ

. (ii) Hence, show that

WXYZ

is a parallelogram. (iii) If

WX = YZ = 9\,\text{cm}

and

XY = 7\,\text{cm}

, find the perimeter of

WXYZ