Question

    The measure of the two times of supplement of an angle

    is 40° less than 7 times the measure of the complement of the same angle. Find the measures of the angle.
    A 29° Correct Answer Incorrect Answer
    B 36° Correct Answer Incorrect Answer
    C 46° Correct Answer Incorrect Answer
    D 18° Correct Answer Incorrect Answer

    Solution

    Let angle be x So ATQ, 2(180 - x) = 7(90 - x) - 40 or 360 - 2x = 630 - 7x - 40 or 5x = 630 - 360 - 40 = 58or x = (230/5)°  = 46° 

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