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ballu43
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Asked: 2023-03-23T11:35:17+00:00 In:

In Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x.

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In Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x.

Can you provide me video explanation for class 9 ncert math’s chapter 6.

NCERT CLASS 9 Chapter 6 Lines and angles
Page No. 104
Exercise 6.2
Question No. 2

chapter 6class9ncert maths
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    1. Best Answer
      In Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x.

      Given: y:z = 3:7
      Let, y = 3k, therefore z = 7k
      y = ∠1 = 3k [∵ Vertically Opposite Angles]
      Given: CD||EF,
      Therefore,
      ∠1 + z = 180° [∵ Sum of co-interior angles]
      ⇒ 3k + 7k = 180°
      ⇒ 10k = 180°
      ⇒ k = 180°/10 = 18°
      Hence, z = 7k = 7 × 18° = 126°
      Given that : AB||CD and CD||EF, therefore AB||EF
      ⇒ x = z = 126° [∵ Alternate Angles]

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