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CUET
General Test
Quantitative Reasoning
Geometry
In ΔPQR, QT ⊥ PR and S is a point on QR such that ∠PSQ = x°, ∠TQR = 38° and ∠SPR = 40°, then the value of x is?
50
92
78
62
∠POT = 180° - (90° + 40°) = 50°
In ΔPTQ
∠POT = ∠QOS = 50° (opposite angle)
∠PSQ = x° = 180° - (50° + 38°) = 92°