The measure of an angle is 3 times the measure of its complement. What is the measure, in degrees, of the angle?

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Answer 1 · 2017-01-12T09:27:26

The angle is #67.5^o#.

An angle and its complement add up to #90^o#. If we consider the angle as #x#, the complement will be #x/3# and we can write:

#x+x/3=90#

Multiply all terms by #3#.

#3x+x=270#

#4x=270#

Divide both sides by #4#.

#x=67.5#