Question

1. determine m∠bad.

Explanation:

Step1: Identify angle - addition principle

The measure of $\angle BAD$ is the sum of the two adjacent angles $\angle BAC$ and $\angle CAD$.

Step2: Add the angle measures

$m\angle BAD=m\angle BAC + m\angle CAD$. Given $m\angle BAC = 31^{\circ}$ and $m\angle CAD=24^{\circ}$, then $m\angle BAD=31^{\circ}+ 24^{\circ}$.
$m\angle BAD = 55^{\circ}$

Answer:

$55^{\circ}$