Question

1. find m∠cbd if m∠abc = 45 and m∠abd = 79.

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABD=\angle ABC + \angle CBD$.

Step2: Solve for $\angle CBD$

By re - arranging the formula, we get $\angle CBD=\angle ABD-\angle ABC$.
Substitute $\angle ABC = 45^{\circ}$ and $\angle ABD = 79^{\circ}$ into the formula: $\angle CBD=79 - 45$.
$79-45 = 34$.

Answer:

$34^{\circ}$