Question

for items 15-16, refer to the following figure. what is m∠dbe?

Explanation:

Step1: Identify angle - relationship

We know that $\angle ABC = 180^{\circ}$, $\angle ABD=90^{\circ}$ and $\angle EBC = 64.5^{\circ}$.

Step2: Calculate $\angle DBE$

Since $\angle ABC=\angle ABD+\angle DBE+\angle EBC$, then $\angle DBE=\angle ABC-\angle ABD - \angle EBC$. Substituting the values: $\angle DBE = 180^{\circ}-90^{\circ}-64.5^{\circ}$.
\[

$$\begin{align*} \angle DBE&=180 - 90-64.5\\ &=25.5^{\circ} \end{align*}$$

\]

Answer:

$25.5^{\circ}$