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    Question

    In Δ ABC, ∠ B= 68° and ∠ C

    32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and ∠ BCE meet at F. What is the measure of ∠ BFC?
    A 65° Correct Answer Incorrect Answer
    B 50° Correct Answer Incorrect Answer
    C 55° Correct Answer Incorrect Answer
    D 39⁰ Correct Answer Incorrect Answer

    Solution

    ∠B = 68˚ and ∠C = 32˚ ∠A = 180˚ - 68˚ - 32˚ = 80˚ Now, => ∠BFC = 90˚ - ∠A/2 => ∠BFC = 90˚ - 80˚/2 => ∠BFC = 50˚

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