Question

bc is the angle bisector of ∠abd. find m∠abc if m∠cbd = 37°. m∠abc =

Explanation:

Step1: Recall angle - bisector property

An angle - bisector divides an angle into two equal angles. So, if $\overrightarrow{BC}$ is the angle - bisector of $\angle ABD$, then $\angle ABC=\angle CBD$.

Step2: Substitute the given value

Given that $m\angle CBD = 37^{\circ}$, then $m\angle ABC=m\angle CBD = 37^{\circ}$.

Answer:

$37^{\circ}$