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    Question

    In a ΔDEF, ∠D = 45°, ∠E = 2∠F. What is the value

    of ∠F?
    A 30° Correct Answer Incorrect Answer
    B 35° Correct Answer Incorrect Answer
    C 40° Correct Answer Incorrect Answer
    D 45° Correct Answer Incorrect Answer

    Solution

    Let ∠F = x. Then, ∠E = 2x and ∠D = 45°. As we know, ∠D + ∠E + ∠F = 180° (Angle sum property) Or, 45° + 2x + x = 180° Or, 45° + 3x = 180° So, 3x = 135° Thus, x = 45°. So, ∠F = 45°. Hence, the correct option is d.

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