Question

Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.

m∠CEA = 90°
m∠CEF = m∠CEA + m∠BEF
m∠CEB = 2(m∠CEA)
∠CEF is a straight angle.
∠AEF is a right angle.

Answer 1

Answers: m∠CEA = 90°, ∠CEF is a straight angle, and ∠AEF is a right angle.

Reason (from the diagram): C–E–F are collinear so ∠CEF is 180° (a straight angle). AE is perpendicular to EF so ∠AEF is 90°. Therefore ∠CEA (the complementary angle at E between CE and EA) is 90°.