document.write( "Question 260594: Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 82.5. What is the measure of the smaller angle? What is the measure of the other angle? \n" ); document.write( "
Algebra.Com's Answer #191977 by mananth(16946)\"\" \"About 
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Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 82.5. What is the measure of the smaller angle? What is the measure of the other angle?\r
\n" ); document.write( "\n" ); document.write( "Two adjacent angles are said to be complimentary when the sum of measures of the angles are = 90deg.\r
\n" ); document.write( "\n" ); document.write( "Let one angle be x.\r
\n" ); document.write( "\n" ); document.write( "then the other angle will be 90-x\r
\n" ); document.write( "\n" ); document.write( "1/4 of the second angle is 1/4*(90-x)\r
\n" ); document.write( "\n" ); document.write( "Their sum is = 90\r
\n" ); document.write( "\n" ); document.write( "so x + 1/4*(90-x)=82.5 Take the LCM of the fractions\r
\n" ); document.write( "\n" ); document.write( "(4x+90-x)/4 = 82.5\r
\n" ); document.write( "\n" ); document.write( "4x+90-x= 4*82.5
\n" ); document.write( "3x-90= 330
\n" ); document.write( "3x= 330-90=240
\n" ); document.write( "x=80.\r
\n" ); document.write( "\n" ); document.write( "So the other angle is 10. ( since they are complimentary)
\n" ); document.write( "The angles are 80 and 10\r
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