Question

which statement is true about the diagram?
∠def is a right angle
m∠dea = m∠fec
∠bea ≅ ∠bec
eb bisects ∠aef

Explanation:

Step1: Recall vertical angles property

Vertical angles are equal. \(\angle DEA\) and \(\angle FEC\) are vertical angles.

Step2: Analyze other options

• \(\angle DEF\) is a straight angle (\(180^{\circ}\)), not a right angle (\(90^{\circ}\)).
• \(\angle BEA\) and \(\angle BEC\) are not congruent as there is no indication of that in the diagram.
• There is no evidence that \(\overrightarrow{EB}\) bisects \(\angle AEF\).

Answer:

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