Question

given that ∠cea is a right - angle and eb bisects ∠cea, which statement must be true? ∠ceb≅∠cea; m∠ceb = 45°; m∠cea = 45°; ∠bea≅∠cea

Explanation:

Step1: Identify ∠CEA measure

∠CEA is a right angle, so \( m\angle CEA = 90^\circ \).

Step2: Apply angle bisector property

\(\overrightarrow{EB}\) bisects ∠CEA, so \( m\angle CEB = m\angle BEA = \frac{90^\circ}{2} = 45^\circ \).

Answer:

B. m∠CEB = 45°