Question

If $\angle P$ and $\angle Q$ are complementary in a triangle PQR, then the measure of $\angle R$ is

• A. ${45}^{\circ }$
• B. ${60}^{\circ }$
• C. ${75}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is D ${90}^{\circ }$

$\angle Pand\angle Q$ are complementary.
then, $\angle P+\angle Q$ $={90}^0$
We know, $\angle P+\angle Q+\angle R=180$
Hence, $\angle R=90$