Question

(b) ac is a line segment. find m∠cbd.

Explanation:

Step1: Recall linear - angle property

The sum of angles on a straight - line is 180°. So, $\angle ABD+\angle CBD = 180^{\circ}$.

Step2: Solve for $\angle CBD$

We know that $\angle ABD = 63.15^{\circ}$. Then $\angle CBD=180^{\circ}-\angle ABD$. Substituting the value of $\angle ABD$, we get $\angle CBD = 180^{\circ}-63.15^{\circ}=116.85^{\circ}$.

Answer:

$116.85^{\circ}$