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If in PQR P = 120 PS QR at S and...

This question belongs to Arithmetic Ability Geometry
Geometry
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If in ΔPQR, ∠P = 120°, PS ⊥ QR at S and PQ + QS = SR, then the measure of ∠Q is:

Answer & Solution
Correct Answer: Option C
Geometry mcq question image
Suppose PMQ is isosceles triangle
Since, PQ + QS = SR
Hence MR = a
∠P + ∠Q + ∠R = 180°
120° + 2θ + θ = 180°
θ = 20°
∠Q = 2θ = 40°
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