ln ΔPQR, O is the incentre and ∠P = 42°. Then what is measure of ∠QOR?

Answer: Option C

$$\begin{array}{rl}& \angle \text{QOR}=90^{\circ }\times \frac{\angle \text{P}}{2}\\ & =90^{\circ }+\frac{{42}^{\circ }}{2}\\ & =111^{\circ }\end{array}$$