Question

The sum of the measures of two complementary angles
is 90°. If one angle measures 21° more than 2 times
the measure of its complement, find the measures of
the two angles.
The smaller angle x measures

Answers

  1. Answer:
    The angles are 23° , 67°.
    Step-by-step explanation:

    Complementary angles:

          If sum of two angles is 90°, then they are called complementary angles.
    Let one angle be ‘x’.
    Its complement = 2*x + 21 = 2x + 21
    x + 2x + 21 = 90°
         3x  + 21 = 90
    Subtract 21 from both sides,
                  3x = 90 – 21
                  3x = 69
    Divide both sides by  3,
                     x = 69/3
                     x = 23°
    Its complement = 2*23 + 21
                              = 46 + 21
                              = 67°
    Two complementary angles are 67° and 23°.

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