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Find the value of x and y in the given figure please fast very urgent |
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Answer» :-The VALUE of X and yGiven:-∠BOF = 40°∠AOC = 35°Solution:-∠BOF = ∠AOE = 40° ( opposite angles )So, the value of ANGLE y = ∠AOC + ∠AOE + y = 180° ( 180° is because of supplementary angle )⟹ 35° + 40° + y = 180°⟹ 75° + y = 180°⟹ y = 180° - 75°⟹ y = 105°Now, the value of x = ∠AOC = ∠x ( opposite angles )Now, VerificationThe verification of ∠y ⟹ ∠AOC + ∠AOE + y = 180° ⟹ 35° + 40° + 105° = 180°⟹ 75° + 105° = 180°⟹ 180° = 180° L.H.S = R.H.S The verification of ∠x⟹ ∠y + ∠x + ∠BOF = 180°⟹ 105° + 35° + 40° = 180°⟹ 140° + 40° = 180°⟹ 180° = 180°L.H.S = R.H.S Hence, PROVED. |
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