Mathematics

Mathematics

Problem

Triangles PQRPQR and RPSRPS are drawn such that PQ=RS=4 cmPQ = RS = 4\,\text{cm}, PRPR is common, and ∠QPR=∠SRP=70∘\angle QPR = \angle SRP = 70^{\circ}. If QR=3x−2 cmQR = 3x - 2\,\text{cm} and PS=x+6 cmPS = x + 6\,\text{cm}, the value of xx is a) 22 b) 88 c) 44 d) 66

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