Question

in figure if AB||CD,EF||CD and GED=126, find AGE,GEF and FGE​

Answer 1

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Answer 2

S O L U T I O N :

★ It is given that,

➽ AB || CD and EF  CD

➽ ∠GED = 126º

➽ ∠GEF + ∠FED = 126º

➽ ∠GEF + 90º = 126º

➽ ∠GEF = 36º

➽ As ∠AGE and ∠GED are alternate interior angles.

➽ ∠AGE = ∠GED = 126º

➽ However, ∠AGE + ∠FGE = 180º (Linear pair)

➽ 126º + ∠FGE = 180º

➽ ∠FGE = 180º − 126º = 54º

★ Hence, ∠AGE = 126º, ∠GEF = 36º, ∠FGE = 54º ★