Question

find value of x and y in following figure​

Answer 1

We know that quadrilateral is rhombus,

Therfore angles bisectors of rhombus are perpendicular to eachother.

In ∆ SOR

angle O will 90°

therefore angle x + 40° + 90° = 180°

x = 50°

Also we know seg SR = seg QR ... side of rhombus

therfore angle x = angle OQR ... by isocoles triangle thrm

= 50°

thefore 50 + 50 + 40 + ORQ = 180

ORQ = y = 180 - 140

y = 40