Question

Observe the given construction, AF is the angular bisector of $\angle BAE$ and AC is the angular bisector of $\angle BAF$. If $\angle BAE$ = ${60}^{\circ }$, then $\angle BAC$ will be _______ degrees.

• A. 15

Answer 1

The correct option is A 15
$\angle BAE={60}^{\circ }$ [Given]
AF is angle bisector of ${60}^{\circ }$
$\Rightarrow \angle BAF={30}^{\circ }$
and AC is angle bisector of ${30}^{\circ }$
$\Rightarrow \angle BAC={15}^{\circ }$