SOLUTION: The measures of the acute angles of a right triangle are in the ratio 1:4 What is the number of degrees in the measure of each of the acute angles?

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Question 176927: The measures of the acute angles of a right triangle are in the ratio 1:4 What is the number of degrees in the measure of each of the acute angles?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
we know that the two angles equal 90 degrees so one angle we will call x and the other we will call y and that is equal to 90-x
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so lets write this as a proportion
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so 1%2F4=x%2F%2890-x%29
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4x=90-xcross multiplied
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5x=90
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highlight%28x=18%29degrees is one angle
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highlight%28y=90-x=90-18=72%29degrees is the other angle
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18/72=1/4
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