if AB is parralel to CD then the value of ANGLE BPE is
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<(5X+14) = <(3X+34)
=> 5X+14 = 3X+34
=> 5X-3X = 34-14 = 20
=> 2X = 20
=> X = 20/2 = 10
so, <(P) = <(Q) = <(3X+34)
so, <(P) = <(Q) = <(3×10+34) = 30+34 = 64°
So <(BPE) = 180° - 64° = 116° {ANSWER}
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