Question

Find the value of unknown $x$ in the following diagram:

Answer 1

In $\Delta$ PQR , $\angle P={90}^{\circ }$ $\angle Q={30}^{\circ }$

By angle sum property :-

$\angle P+\angle Q+\angle R={180}^{\circ }$

${90}^{\circ }+{30}^{\circ }+x^{\circ }={180}^{\circ }$

$x^{\circ }={180}^{\circ }-{120}^{\circ }$

$x^{\circ }={60}^{\circ }$