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Example 4 - In figure, if PQ || RS, ∠MXQ = 135° & ∠MYR = 40° - Parallel lines and traversal - Problems

  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
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Example 4 In figure, if PQ || RS, ∠ MXQ = 135° and ∠ MYR = 40°, find ∠ XMY. Let AB || PQ, drawn through point M Since PQ || RS, ∴ AB || RS Since AB || PQ and MX is the transversal ∠ XMB + ∠ QXM = 180° ∠ XMB + 135° = 180° ∠ XMB = 180° – 135° ∠ XMB = 45° Similarly, Since AB || RS and MY is the transversal ∠ BMY = ∠ RYM ∠ BMY = 40° Now, ∠ XMY = ∠ XMB + ∠ MBY ∠ XMY = 45° + 40° ∠ XMY = 85°

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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