Question

In the given figure, OB and OC are the bisectors of the exterior angles $\angle CBP$ and $\angle BCQ$ respectively. The measure of $\angle BOC$ will be

• A.
  ${60}^{\circ }$
• B.
  ${56}^{\circ }$
• C.
  ${76}^{\circ }$
• D.
  ${66}^{\circ }$

Answer 1

The correct option is D

${66}^{\circ }$
$\angle BOC={90}^{\circ }-\frac{1}{2}\angle A={90}^{\circ }-\frac{1}{2}\times {48}^{\circ }\angle BOC={66}^{\circ }$

So, option d is correct.