document.write( "Question 125887: The measure of an obtuse angle is 24 less than three times the measure of its supplement. Find the measure of the angle. \n" ); document.write( "
Algebra.Com's Answer #92266 by marcsam823(57)\"\" \"About 
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- Obtuse angles are those angles which measure greater than 90 degrees but less than 180 degrees. Therefore our answer should fall between 90 and 180.
\n" ); document.write( "- Supplementary angles are two or more angles whose sum is 180 degrees.\r
\n" ); document.write( "\n" ); document.write( "Let X = Supplement to the angle we are looking for
\n" ); document.write( "Let 3x - 24 = The angle we are looking for (24 less than 3 times the measure of its supplement)\r
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\n" ); document.write( "\n" ); document.write( "Solve:\r
\n" ); document.write( "\n" ); document.write( "1. Set up the equation:
\n" ); document.write( " x + (3x - 24) = 180
\n" ); document.write( "2. Combine the x terms:
\n" ); document.write( " 4x - 24 = 180
\n" ); document.write( "3. Add 24 to both sides
\n" ); document.write( " 4x = 204
\n" ); document.write( "4. Divide both sides by 4
\n" ); document.write( " x = 51
\n" ); document.write( "5. Substite:
\n" ); document.write( " 3(51) - 24 = 153 - 24 = 129 degrees\r
\n" ); document.write( "\n" ); document.write( "Since our result is greater than 90 and less 180 it qualifies as an obtuse angle.\r
\n" ); document.write( "\n" ); document.write( "Note: You could also have subtracted 51 from 180 and achieved the same result.
\n" ); document.write( "180 - 51 = 129\r
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