SOLUTION: The measures of one of the complementary angles of a right triangle is five times that of the other. Find the measures of the angles.

Question 163606: The measures of one of the complementary angles of a right triangle is five times that of the other. Find the measures of the angles.
Found 2 solutions by checkley77, nerdybill:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
5x+x+90=180
6x+90=180
6x=180-90
6x=90
x-90/6
x=15 degrees for the smaller angle.
5*5=75 degrees for the larger angle.
Proof:
75+15+90=180
180=180
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The measures of one of the complementary angles of a right triangle is five times that of the other. Find the measures of the angles.
.
If two angles are complementary, the sum of the two angles equal 90.
.
Let x = one of the complementary angles
then
90-x = the other complementary angle
.
5x = 90-x
6x = 90
x = 15 deg (one of two complementary angles)
.
"other complementary angle":
90-x = 90-15 = 75 deg
.
The three angles are:
90, 75, and 15 degrees
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