Question

given that eb bisects ∠cea, which statements must be true? choose three correct answers. ∠cef is a straight angle. m∠cea = 90° m∠cef = m∠cea + m∠bef ∠aef is a right angle. m∠ceb = 2(m∠cea)

Explanation:

Step1: Recall angle - bisector and angle - properties

An angle - bisector divides an angle into two equal parts. A straight angle is 180°. A right angle is 90°.

Step2: Analyze each statement

$\angle CEF$ is a straight angle as points C, E, and F are collinear. $\angle AEF$ is a right angle as indicated by the right - angle symbol. $m\angle CEF=m\angle CEA + m\angle BEF$ by the angle - addition postulate.

Answer:

$\angle CEF$ is a straight angle., $m\angle CEF = m\angle CEA + m\angle BEF$, $\angle AEF$ is a right angle.