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: $\angle DBE = 180^{\circ}-90^{\circ}-64.5^{\circ}$.

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Answer:

$25.5^{\circ}$