Question

plz help me solve it fast​

Answer 1

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Given :

• EF⊥ CD

• ∠GED = 126°

• ∠FED = 90°

To Find :

• ∠AGE, ∠GEF and ∠FGE

Solution :

➨∠GED = ∠GEF + ∠FED

➨ 126° = ∠GEF + 90°

➨ ∠GEF = 126° - 90°

➨ ∠GEF = 36°

∠GED = ∠AGE = 126° [ Alternate Interior Angle ]

➨∠AGE + ∠FGE = 180° [Linear Pair ]

➨ 126° + ∠FGE = 180°

➨ ∠FGE = 180°- 126°

➨ ∠FGE = 54°

Hence, ∠GEF = 36°, ∠AGE = 126° and ∠FGE = 54°.