Question

if $overrightarrow{cb}$ bisects $angle abd$, if $angle abd = 48^{circ}$, find $angle abc$.

Explanation:

Step1: Recall angle - bisector definition

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

Step2: Substitute the given value of $\angle ABD$

Given $\angle ABD = 48^{\circ}$, then $\angle ABC=\frac{48^{\circ}}{2}$.

Answer:

$24^{\circ}$