Question

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QUESTIONS:

∠BAR ≅ ∠CAR
∠BPR ≅ ∠CPR
∠APC ≅ ∠BPR
∠APB ≅ ∠APC

Answer 1

Answer: ∠BAR ≅ ∠CAR

Step-by-step explanation:
Recall what happens when a line bisects an angle. If a line bisects an angle, it forms two equal angles on either side of the bisector. Since you need to prove that line AR bisects ∠BAC.

So in order to prove that it bisects, you'd need to prove that ΔRBA is congruent to ΔRCA

Hence, ∠BAR ≅ ∠CAR