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Ex 6.2, 2 - In figure, if AB || CD, CD || EF and y:z = 3:7 - Parallel lines and traversal - Problems

  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
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Ex 6.2, 2 In figure, if AB || CD, CD || EF and y: z= 3 : 7, find x. It is given that 𝑦/𝑧 = 3/7 y = 3/7 z Let ∠ CON = p Now CD || EF So, p = z Also, y + p  = 180° y + z = 180° y + z = 180° Putting y = 3/7 z 3/7 z + z = 180° (3𝑧 + 7𝑧)/7 = 180° 10𝑧/7 = 180° z = 7/10 × 180° z = 126° Now, y = 3/7 z Putting z = 126° y = 3/7 × 126° y = 54° Also, AB || CD & MN is transversal We know that sum of interior angles on the same side of transversal is supplementary x + y = 180° x + 54° = 180° x = 180° – 54° x = 126° Alternatively, AB || EF & MN is transversal ∴ x = z x = 126°

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