SOLUTION: an angle measures is five times the measure of its complement. what is the measure of the larger angle?

Question 334817: an angle measures is five times the measure of its complement. what is the measure of the larger angle?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
an angle measures is five times the measure of its complement. what is the measure of the larger angle?
.
The sum of two "complementary" angles is 90 degrees.
.
Let x = smaller angle
then
5x = larger angle
.
x + 5x = 90
6x = 90
x = 90/6
x = 15 deg (smaller angle)
.
Larger angle:
5x = 5(15) = 75 degrees
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