document.write( "Question 151328: Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 60.75. What is the measure of the smaller angle & what is the measure of the other? \n" ); document.write( "
Algebra.Com's Answer #111291 by ankor@dixie-net.com(22740)\"\" \"About 
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Two angles are complementary. The sum of the measure of the first angle and one-fourth the second angle is 60.75. What is the measure of the smaller angle & what is the measure of the other?
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\n" ); document.write( "Let the two angles = x & y
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\n" ); document.write( "\"Two angles are complementary.\"
\n" ); document.write( "x + y = 90
\n" ); document.write( "x = 90 - y
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\n" ); document.write( "\" The sum of the measure of the first angle and one-fourth the second angle is 60.75.\"
\n" ); document.write( "x + .25y = 60.75
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\n" ); document.write( "Substitute (90-y) for x in the above equation
\n" ); document.write( "(90-y) + .25y = 60.75
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\n" ); document.write( "-1.0y + .25y = 60.75 - 90
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\n" ); document.write( "-.75y = -29.25
\n" ); document.write( "y = \"%28-29.25%29%2F%28-.75%29\"
\n" ); document.write( "y = 39 degrees is the smaller angle
\n" ); document.write( "then
\n" ); document.write( "x = 90 - 39 = 51 degrees
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"The sum of the measure of the first angle and one-fourth the second angle is 60.75.
\n" ); document.write( "51 + .25(39) =
\n" ); document.write( "51 + 9.75 = 60.75\r
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