document.write( "Question 305249: Two Angles are complementary. The sum of the first angle and one-fourth the second angle is 79.05 degrees. Find the measure of the angles. \n" ); document.write( "
Algebra.Com's Answer #218705 by ankor@dixie-net.com(22740)\"\" \"About 
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Two Angles are complementary.
\n" ); document.write( "Let x = one angel
\n" ); document.write( "then
\n" ); document.write( "(90-x) = the other angle
\n" ); document.write( ":
\n" ); document.write( " The sum of the first angle and one-fourth the second angle is 79.05 degrees.
\n" ); document.write( "x + \"1%2F4\"(90-x) = 79.05
\n" ); document.write( "Get rid of the fraction, multiply by 4
\n" ); document.write( "4x + 90-x = 4(79.05)
\n" ); document.write( "3x + 90 = 316.2
\n" ); document.write( "3x = 316.2 - 90
\n" ); document.write( "3x = 226.2
\n" ); document.write( "x = \"226.2%2F3\"
\n" ); document.write( "x = 75.4 is one angle
\n" ); document.write( "and
\n" ); document.write( "90 - 75.4 = 14.6 is the other angle
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the statement:
\n" ); document.write( "\"The sum of the first angle and one-fourth the second angle is 79.05 degrees.\"
\n" ); document.write( " 75.4 + \"1%2F4\"(14.6) =
\n" ); document.write( "75.4 + 3.65 = 79.05; confirms our solutions\r
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