document.write( "Question 562474: The measure of two supplementary angles are in the ratio 1:4. What are the measure of the angles? \n" ); document.write( "
Algebra.Com's Answer #364575 by jlshires(17)\"\" \"About 
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If two angles are supplementary it means they add up to 180 degrees (ie they make a straight line.) \r
\n" ); document.write( "\n" ); document.write( "If the ratio of both angles is 1:4, then that means the bigger angle is four times the size of the smaller. Using that, you can add variables. The smaller andle is x (or 1x) and the bigger one would be four times that, so 4x. If you add the two angles together, you get 180.\r
\n" ); document.write( "\n" ); document.write( "Therefore:\r
\n" ); document.write( "\n" ); document.write( "x+4x=180
\n" ); document.write( "5x=180
\n" ); document.write( "divide both side by 5 to get\r
\n" ); document.write( "\n" ); document.write( "x=36\r
\n" ); document.write( "\n" ); document.write( "substitute this in for your original formulas of x and 4x\r
\n" ); document.write( "\n" ); document.write( "x=36, the smaller angle is 36 degrees
\n" ); document.write( "4x= 4(36)= 144, the larger angle is 144 degrees
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