Question

ray ce is the angle bisector of ∠acd. which statement about the figure must be true? m∠ace = 1/2 m∠acd m∠ecd = 1/2 m∠ecb ∠ecd ≅ ∠acd ∠ace ≅ ∠dcb

Explanation:

Step1: Recall angle - bisector definition

An angle bisector divides an angle into two equal - measure angles.

Step2: Apply to ∠ACD

Since CE is the angle bisector of ∠ACD, then $m\angle ACE=\frac{1}{2}m\angle ACD$.

Answer:

$m\angle ACE=\frac{1}{2}m\angle ACD$