Question

Answer this question. Figure and everything is given above ☝​

Answer 1

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Given,

angle GED = 126°

angle FED = 90°......(right angle)

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Now,

=> angle GED = angle GEF + angle FED

126° = angle GEF + 90°

=> angle GEF = 126° - 90°

= 36°

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=> angle AGE = 126° = angle GED.....

(alternate interior angles)

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=> angle AGE + angle FGE = 180°.....

(linear pair)

=> 126 + angle FGE = 180°

=> angle FGE = 180° - 126°

=> angle FGE = 54°

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angle AGE = 126°

angle GEF = 36°

angle FGE = 54°

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