document.write( "Question 1126292: The sum of the measures of a complement and a supplement of an angle is 160. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #742613 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "Supplementary angles are two angles that have a sum of \"180\"°.\r
\n" ); document.write( "\n" ); document.write( "Complementary angles are two angles that have a sum of \"90\"°.\r
\n" ); document.write( "\n" ); document.write( "i angle is \"alpha\", its supplement is \"180-+alpha\", and its complement is \"90-+alpha\"\r
\n" ); document.write( "\n" ); document.write( "if the sum of the measures of a complement and a supplement of an angle is \"160\", we have\r
\n" ); document.write( "\n" ); document.write( "\"%28180-+alpha%29%2B%2890-+alpha%29=160\"...solve or \"alpha\"\r
\n" ); document.write( "\n" ); document.write( "\"180-+alpha%2B90-+alpha=160\"\r
\n" ); document.write( "\n" ); document.write( "\"270-+2alpha=160\"\r
\n" ); document.write( "\n" ); document.write( "\"270-160+=+2alpha\"\r
\n" ); document.write( "\n" ); document.write( "\"110+=+2alpha\"\r
\n" ); document.write( "\n" ); document.write( "\"alpha=110+%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"alpha=55\"°\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "if \"alpha=55\", its supplement is \"180-+alpha=180-55=125\"
\n" ); document.write( "if \"alpha=55\", its complement is \"90-+alpha=90-55=35\"\r
\n" ); document.write( "\n" ); document.write( "\"125%2B35=160\"
\n" ); document.write( "\"160=160\"\r
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