lines ac and bd intersect at e.
what is the measure of angle bec?

Question

Accepted Answer

# Explanation:
## Step1: Use the property of supplementary angles
Supplementary angles add up to $180^{\circ}$. Angle $AED = 108^{\circ}$, and $\angle AED+\angle BEC = 180^{\circ}$ (because they are adjacent angles forming a linear - pair).
## Step2: Solve for $\angle BEC$
$$
\begin{align*}
\angle BEC&=180^{\circ}-\angle AED\
&=180^{\circ}- 108^{\circ}\
&=72^{\circ}
\end{align*}
$$

# Answer:
$72^{\circ}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Use the property of supplementary angles

Step2: Solve for \(\angle BEC\)

Answer: