Question

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

Answer 1

$x={60}^{\circ }...\left(i\right)\text{[Vertically opposite angles]}Now,{30}^{\circ }+x+y={180}^{\circ }\text{[Angle sum property of a}\Delta ]\Rightarrow {30}^{\circ }+{60}^{\circ }+y={180}^{\circ }\text{[From eq.(i)]}\Rightarrow {90}^{\circ }+y={180}^{\circ }$
$\Rightarrow y={180}^{\circ }-{90}^{\circ }={90}^{\circ }$