Question

Question 1 (ii)
Find the value of unknown x in the following diagrams.

Answer 1

$In\Delta PQR,\angle RPQ+\angle PQR+\angle PRQ={180}^{\circ }\text{[By angle sum property of a triangle]}\Rightarrow {90}^{\circ }+{30}^{\circ }+x={180}^{\circ }\Rightarrow x+{120}^{\circ }={180}^{\circ }\Rightarrow x={180}^{\circ }-{120}^{\circ }={60}^{\circ }$