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    Question

    In AABC, ∠A = 85° and ∠C = 58°. If ΔPQR is

    similar to ΔABC, and in correspondence, then find ∠Q.
    A 37° Correct Answer Incorrect Answer
    B 85° Correct Answer Incorrect Answer
    C 58° Correct Answer Incorrect Answer
    D 73° Correct Answer Incorrect Answer

    Solution

    ΔΑΒC~ ΔΡQR, ∠ A = 85° and ∠ C = 58° In ∆ABC ∠ A + ∠ B + ∠ C = 180° [The sum of interior angles of a triangle is 180°.] 85° + ∠ B + 58° = 180° ∠ B = 37° We know that the corresponding angles of similar triangles are equal. So,   ∠ Q = ∠ B = 37°

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