The sum of the measures of 2 complimentary angles is 90 degrees. If one angle measures 27 degrees more than twice the measure of the other, find the measure of the smaller angle.

Question

anonymous · Answer

The angles add to 90

_________ +__________ = 90

The first angle is unknown:  x

The second angle is 27 + 2 x

Therefore we have

x + 27 + 2x  = 90

or

3x + 27 = 90

subtract 27 from both sides

3x = 63

or

x = 21

The second angle is  27 + 2(21) = 69