Question

For each of the following parallelogram, find the unknown $x,y,z$ whichever is involved, Also mention the property used.

Answer 1

R.E.F image

MUSG is a parallelogram

MS = UG and MU = SG

y - 2 = 8 and 5x + 1 = 26

[y=10] 5x = 25

[x=5]

In $△PKA[\angle A=90-30={60}^{\circ }]$

and $\angle A=x=\angle y$[alternates]

$[y=x={60}^{\circ }]$

$and[z=\angle p]$ (alternates)

$[z={30}^{\circ }]$

$\therefore [x=y={60}^{\circ }]and[z={30}^{\circ }]$