Question

If $\angle AOB={35}^{\circ }$ and $\angle PQR$ are complementary, then $\angle PQR=$.

• A. ${60}^{\circ }$
• B. ${90}^{\circ }$
• C. ${55}^{\circ }$

Answer 1

The correct option is C ${55}^{\circ }$

Given $\angle AOB={35}^{\circ }$ and $\angle PQR$ are complementary.
$\Rightarrow \angle AOB+\angle PQR={90}^{\circ }$
$\because \angle AOB={35}^{\circ }$
$\Rightarrow {35}^{\circ }+\angle PQR={90}^{\circ }$
$\Rightarrow \angle PQR={90}^{\circ }-{35}^{\circ }={55}^{\circ }$