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26 April, 14:22

Find the measure of an angle whose supplement is sixteen times its complement. Hint: Supplement and complement of an angle are (180-0) and (90-0) respectively.

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Answers (2)
  1. 26 April, 14:35
    0
    The angle is 84 degrees

    Step-by-step explanation:

    Let's call the angle by 'x'.

    the supplement of x is equal to 180-x, and the complement of x is equal to 90-x.

    If the supplement is sixteen times the complement, we can write the following equation:

    (180 - x) = 16 * (90 - x)

    180 - x = 1440 - 16x

    16x - x = 1440 - 180

    15x = 1260

    x = 84

    The angle is 84 degrees.
  2. 26 April, 14:47
    0
    84⁰

    Step-by-step explanation:

    Complement = 90 - x

    Supplement = 180 - x

    Given:

    180 - x = 16 (90 - x)

    180 - x = 1440 - 16x

    15x = 1260

    x = 84
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