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Ex 6.3, 4 - In figure, if lines PQ & RS intersect at point T - Triangle - Problems

  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
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Ex 6.3, 4 In the given figure, if lines PQ and RS intersect at point T, such that ∠PRT = 40°, ∠RPT = 95° and ∠TSQ = 75°, find ∠SQT. In Δ PRT By angle sum property of triangle ∠ PRT + ∠ RPT + ∠ PTR = 180° 90° + 45° + ∠ PTR = 180° 135° + ∠ PTR = 180° ∠ PTR = 180° – 135° ∠ PTR = 45° Also, ∠ STQ = ∠ PTR ∠ STQ = 45° In Δ SQT By angle sum property of triangle ∠ SQT + ∠ STQ + ∠ TSQ = 180° ∠ SQT + 75° + 45° = 180° ∠ SQT + 120° = 180° ∠ SQT = 180° – 120° ∠ SQT = 60°

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