Question

Observe the given construction, if $\angle BAE={60}^{\circ }$, then $\angle CAF$ will be ____. [2 Marks]

Answer 1

$\angle BAE={60}^{\circ }$
AF is angle bisector of ${60}^{\circ }$
$\Rightarrow \angle BAF={30}^{\circ }$ [1 Mark]
and AC is angle bisector of ${30}^{\circ }$

$\angle BAC=\angle CAF$
$\Rightarrow \angle BAC=\angle CAF={15}^{\circ }$ [1 mark]