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