document.write( "Question 439469: Could some one please help me solve this problem I am totally confused? Two angles are complimentary. The sum of the measure of the first angle and one-fourth the second angel is 84.75 degrees. Find the measures of the angle. Smaller __ other__ \n" ); document.write( "
Algebra.Com's Answer #303717 by nerdybill(7384)\"\" \"About 
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Could some one please help me solve this problem I am totally confused? Two angles are complimentary. The sum of the measure of the first angle and one-fourth the second angel is 84.75 degrees. Find the measures of the angle. Smaller __ other__
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\n" ); document.write( "two angle that are complementary add up to 90 degrees
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\n" ); document.write( "Let x = first angle
\n" ); document.write( "then
\n" ); document.write( "90-x = second angle
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\n" ); document.write( "from:\"The sum of the measure of the first angle and one-fourth the second angel is 84.75 degrees\"
\n" ); document.write( "x + (90-x)/4 = 84.75
\n" ); document.write( "multiplying both sides by 4:
\n" ); document.write( "4x + 90-x = 339
\n" ); document.write( "3x + 90 = 339
\n" ); document.write( "3x = 249
\n" ); document.write( "x = 83 degrees (first angle)
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\n" ); document.write( "second angle:
\n" ); document.write( "90-x = 90-83 = 7 degrees
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