Question

if angle ABD = 124 degrees what is angle ABC

Answer 1

We have the following:

We know that a bisector line is one that divides into two equal parts, therefore

$\begin{gathered} \text{ABD}=\text{ABC}+\text{CBD} \\ \text{ABC}=\text{CBD} \end{gathered}$

replacing:

$\begin{gathered} 124=\text{ABC}+\text{ABC} \\ 2\cdot\text{ABC}=124 \\ \text{ABC}=\frac{124}{2} \\ \text{ABC}=62 \end{gathered}$

Which means that the angle ABC measures 62 degrees.