SOLUTION: Two angels are complimentary. The sum of the measure of the first angel and half the second angel is 72 Find the measure of the angels?

Question 519795: Two angels are complimentary. The sum of the measure of the first angel and half the second angel is 72 Find the measure of the angels?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
2 angles are complementary.
That means the 2 angles sum to 90 degrees.
.
x = one angle
y = complementary angle
x + y = 90
so
x = 90-y
.
x + 1/2y = 72
.
substitute for 'x'
.
90-y +1/2y = 72
-1/2y = -18
y = 36
.
x = 90-36 = 54
.
Does x + 1/2y = 72?
54 + 18 = 72
OK.
.
Answer: The two angles are 54 degrees and 36 degrees.
.
Done.
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