Question

Find the values of unknowns x and y in the following diagram:

Answer 1

$x=y....\left(i\right)\text{[Vertically opposite angle]}Now,x+x+y={180}^{\circ }\text{[Angle sum property of a}\Delta ]\Rightarrow 2x+x={180}^{\circ }\text{[From eq.(i)]}\Rightarrow 3x={180}^{\circ }\Rightarrow x=\frac{{180}^{\circ }}{3}={60}^{\circ }$

$\Rightarrow y={60}^{\circ }$