Question

identifying congruent angles
∠fae measures 72°. what other angle must measure 72°?
○ ∠bfd
○ ∠dea
○ ∠edf
○ ∠fbe

Explanation:

Step1: Recall inscribed - angle theorem

In a circle, angles inscribed in the same arc are congruent.

Step2: Identify the arc for ∠FAE

∠FAE is an inscribed angle that intercepts arc FE.

Step3: Find the angle with the same intercepted arc

∠FBE also intercepts arc FE. So, ∠FAE and ∠FBE are congruent.

Answer:

D. ∠FBE