1 ballu43 Asked: March 23, 20232023-03-23T11:36:15+00:00 2023-03-23T11:36:15+00:00In: Class 9 Maths In Fig. 6.30, if AB || CD, EF ⊥ CD and ∠ GED = 126°, find ∠ AGE, ∠ GEF and ∠ FGE. 1 NCERT Class 9 Chapter 6 Lines and angles Page No. 104 Exercise 6.2 Question No. 3 chapter 6mathematicsncert class 9 Share Facebook 1 Answer Voted Oldest Recent Best Answer deva989 2023-03-24T11:42:29+00:00Added an answer on March 24, 2023 at 11:42 am 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° 3 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment.
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°