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!
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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.
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Let x = angle
then
90-x = complement of angle
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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
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complement:
90-x = 90-40 = 50 degrees
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answer:
the two angles are 40 and 50 degrees
