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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 39тБ░ Correct Answer Incorrect Answer

    Solution

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

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