Question

bc is the angle bisector of ∠abd. find m∠abc if m∠abd = 72°. m∠abc =

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts. So, $m\angle ABC=\frac{1}{2}m\angle ABD$.

Step2: Substitute the given value

Given $m\angle ABD = 72^{\circ}$, then $m\angle ABC=\frac{72^{\circ}}{2}$.

Answer:

$36^{\circ}$