Question

Given that 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

A,D,E

Explanation:

Answer 2

m∠CEA = 90°

∠CEF is a straight angle

∠AEF is a right angle

Explanation:

we know that

BE bisects ∠CEA -----> given problem

so

m∠CEB=m∠BEA

m∠CEA=m∠CEB+m∠BEA

The measure of angle CEA is a right angle -----> m∠CEA=90°

The measure of angle CEF is a straight angle -----> m∠CEF=180°

m∠CEF=m∠CEA+m∠AEF

The measure of angle AEF is a right angle -----> m∠AEF=90°

therefore

The statements that must be true are

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle