SOLUTION: One of the complimentary angle measure 15� increased by half its compliment. Find the measure of both angles. Please answer my question quickly. Reply ASAP. Thanks in advance!

Question 620402: One of the complimentary angle measure 15� increased by half its compliment. Find the measure of both angles. Please answer my question quickly. Reply ASAP. Thanks in advance!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
One of the complimentary angle measure 15� increased by half its compliment.
.
Let x = angle
then
90-x = complement of angle
.
from: "One of the complimentary angle measure 15� increased by half its compliment" we have:
x = 15+(90-x)/2
multiplying both sides by 2:
2x = 30+(90-x)
2x = 30+90-x
3x = 30+90
3x = 120
x = 40 degrees
.
complement:
90-x = 90-40 = 50 degrees
.
answer:
the two angles are 40 and 50 degrees

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