Question

Question 2 (v)
Find the values of unknowns x and y in the following diagram:

Answer 1

$y={90}^{\circ }....\left(i\right)\text{[Vertically opposite angle]}Now,y+x+x={180}^{\circ }\text{[Angle sum property of a}\Delta ]\Rightarrow {90}^{\circ }+2x={180}^{\circ }\text{[From eq.(i)]}\Rightarrow 2x={180}^{\circ }-{90}^{\circ }\Rightarrow 2x={90}^{\circ }\Rightarrow x=\frac{90}{2}={45}^{\circ }$