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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

Respuesta :

devishri1977

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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