Question

identifying congruent angles
$angle fae$ measures $72^\circ$. what other angle must measure $72^\circ$?
$circ$ $angle bfd$
$circ$ $angle dea$
$circ$ $angle edf$
$circ$ $angle fbe$

Explanation:

Step1: Recall inscribed angle theorem

Inscribed angles subtending the same arc are congruent (equal in measure).

Step2: Identify shared arc for ∠FAE

∠FAE subtends arc FE.

Step3: Match angle to shared arc

∠FBE also subtends arc FE, so it must be congruent to ∠FAE.

Answer:

∠FBE