document.write( "Question 341238: two angles are complementary. the measure of one angle is 21 more than twice the measure of the other angle.find the measure of the angle? \n" ); document.write( "

Algebra.Com's Answer #244320 by texttutoring(324) $\"\"$ $\"About$

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Complementary means that the angles must add up to 90 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Let x = first angle
\n" ); document.write( "Let y = second angle\r
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\n" ); document.write( "\n" ); document.write( "Equation 1: y = 2x + 21
\n" ); document.write( "Equation 2: x+y = 90\r
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\n" ); document.write( "\n" ); document.write( "Substitute Eqn 1 into Eqn 2:\r
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\n" ); document.write( "\n" ); document.write( "x + (2x+21) = 90
\n" ); document.write( "3x + 21 = 90
\n" ); document.write( "3x = 69
\n" ); document.write( "x = 69/3
\n" ); document.write( "x = 23\r
\n" ); document.write( "\n" ); document.write( "Now you can find the other angle, y:\r
\n" ); document.write( "\n" ); document.write( "y = 90-x
\n" ); document.write( "y = 90-23
\n" ); document.write( "y = 67\r
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\n" ); document.write( "\n" ); document.write( "So one angle is 23 degrees, and the other angle is 67 degrees. \n" ); document.write( "

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