If angle ABD = 124 degrees what is angle ABC

Question

asked Dec 2, 2023 59.9k views

1 Answer

Anson Kao · Answer 1 · 2023-12-08T05:24:32+0000

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:

$\begin{gathered} 124=\text{ABC}+\text{ABC} \\ 2\cdot\text{ABC}=124 \\ \text{ABC}=(124)/(2) \\ \text{ABC}=62 \end{gathered}$

Which means that the angle ABC measures 62 degrees.