Question

Observe the given construction, if $\angle BAE={60}^{\circ }$, then $\angle BAC$ will be

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$\angle BAE={60}^{\circ }$ [Given]
AF is angle bisector of $\angle BAE$
$\Rightarrow \angle BAF={\frac{60}{2}}^{\circ }$

= ${30}^{\circ }$
and AC is angle bisector of $\angle BAF$
$\Rightarrow \angle BAC={\frac{30}{2}}^{\circ }$ = ${15}^{\circ }$