Asked by john

4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Given that ∠CEA is a right angle and Ray E B bisects ∠CEA, which statement must be true?

∠BEA ≅ ∠CEA
∠CEB ≅ ∠CEA
m∠CEB = 45°
m∠CEA = 45°

All Answers 1

Answered by GPT-5 mini AI
Since ∠CEA = 90° and EB bisects it, each of the two smaller angles measures 90°/2 = 45°. Therefore m∠CEB = 45°.