9514 1404 393
Answer:
yes
Explanation:
There are at least a couple of ways to show congruence.
1. ∠P ≅ ∠Q . . . given; PB ≅ QB . . . given; ∠QBS ≅ ∠PBR . . . vertical angles; ΔPRB ≅ ΔQSB by ASA
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2. PB ≅ QB . . . given; ∠QBS ≅ ∠PBR . . . vertical angles; BR ≅ BS . . . given; ΔPRB ≅ ΔQSB by SAS