document.write( "Question 156708: Find the measure of an angle such that the sum of the measures of its complement and its supplement is 100 degrees. \n" ); document.write( "
Algebra.Com's Answer #115534 by nerdybill(7384)\"\" \"About 
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If the sum of two angles adds up to 180°, then the angles are said to be supplementary.
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\n" ); document.write( "If the sum of two angles adds up to 90°, then the angles are said to be complementary.
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\n" ); document.write( "Let x = angle
\n" ); document.write( "supplement angle = 180-x
\n" ); document.write( "complement angle = 90-x
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\n" ); document.write( "From:\"sum of the measures of its complement and its supplement is 100 degrees\" we get:
\n" ); document.write( "(180-x)+(90-x) = 100
\n" ); document.write( "180 -x + 90 -x = 100
\n" ); document.write( "270 -2x = 100
\n" ); document.write( "270 = 100 + 2x
\n" ); document.write( "170 = 2x
\n" ); document.write( "85 deg = x
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