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Ex 6.1, 6 - It is given that ∠XYZ = 64° and XY is produced - Angles - Problems

  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
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Ex 6.1, 6 It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP. XYP is a straight line, ∠ XYZ + ∠ ZYP = 180° ∠ ZYP = 180° – ∠ XYZ ∠ ZYP = 180° – 64° ∠ ZYP = 116° Since YQ bisects ∠ ZYP ∠ ZYQ = ∠ QYP = 1/2 ∠ ZYP = 1/2 × 116° = 58° ∠ XYQ = ∠ XYZ + ∠ ZYQ = 64° + 58° = 122° We have to find Reflex ∠QYP Reflex ∠QYP = 360° −  ∠QYP Reflex ∠QYP = 360° − 58° = 302°

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