document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #131975 by Mathtut(3670) $\"\"$ $\"About$

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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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\n" ); document.write( "so lets write this as a proportion
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\n" ); document.write( "so $\"1%2F4=x%2F%2890-x%29\"$
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\n" ); document.write( " $\"4x=90-x\"$ cross multiplied
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\n" ); document.write( "5x=90
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\n" ); document.write( " $\"highlight%28x=18%29\"$ degrees is one angle
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\n" ); document.write( " $\"highlight%28y=90-x=90-18=72%29\"$ degrees is the other angle
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\n" ); document.write( "18/72=1/4
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