Question

which statement is true about the diagram?
∠def is a right angle.
m∠dea = m∠fec
∠bea ≅ ∠bec
(overrightarrow{eb}) bisects ∠aef.

Explanation:

Step1: Analyze vertical angles

Vertical angles are equal. $\angle DEA$ and $\angle FEC$ are vertical angles.

Step2: Check other options

• $\angle DEF$ is not a right - angle (no indication of \(90^{\circ}\) in the diagram).
• $\angle BEA

ot\cong\angle BEC$ (no bisecting shown for these angles).

• $\overrightarrow{EB}$ does not bisect $\angle AEF$ (no equal - angle markings).

Answer:

\(m\angle DEA = m\angle FEC\)