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ballu43
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Asked: 2023-03-23T11:36:15+00:00 In:

In Fig. 6.30, if AB || CD, EF ⊥ CD and ∠ GED = 126°, find ∠ AGE, ∠ GEF and ∠ FGE.

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In Fig. 6.30, if AB || CD, EF ⊥ CD and ∠ GED = 126°, find ∠ AGE, ∠ GEF and ∠ FGE.

NCERT Class 9 Chapter 6 Lines and angles
Page No. 104
Exercise 6.2
Question No. 3

chapter 6mathematicsncert class 9
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    1. Best Answer

      Given that: AB||CD,
      Therefore,
      ∠AGE = ∠GED [∵ Alternater Angles]
      ⇒ ∠AGE = 126°
      From the figure,
      ∠GED = ∠GEF + ∠FED
      ⇒ 126° = ∠GEF + 90°
      ⇒ ∠GEF = 126° – 90° = 36°
      Given that: AB||CD,
      Therefore,
      ∠FGE + 126° = 180° [∵ Sum of co-interior angles]
      ⇒ ∠FGE = 180° – 126° = 54°

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