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Given
\qquad m \angle QPS = 88^\circm∠QPS=88 ∘
m, angle, Q, P, S, equals, 88, degrees
\qquad m \angle RPS = 5x + 34^\circm∠RPS=5x+34 ∘
m, angle, R, P, S, equals, 5, x, plus, 34, degrees
\qquad m \angle QPR = 8x + 15^\circm∠QPR=8x+15 ∘
m, angle, Q, P, R, equals, 8, x, plus, 15, degrees
Find m\angle RPSm∠RPSm, angle, R, P, S: