document.write( "Question 1148334: An angle is 9 more than half it’s supplement. Find the measure of the smaller angle.
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Algebra.Com's Answer #769681 by Theo(13342) You can put this solution on YOUR website! let x equal the value of the angle. \n" ); document.write( "then 180 - x equals the value of the supplement. \n" ); document.write( "formula becomes x = 1/2 * (180 - x) + 9 \n" ); document.write( "multiply both sides of this equation by 2 to get: \n" ); document.write( "2x = 180 - x + 18 \n" ); document.write( "add x to both sides and combine like terms to get: \n" ); document.write( "3x = 198 \n" ); document.write( "divide both sides by 3 to get: \n" ); document.write( "x = 66 \n" ); document.write( "that's your angle. \n" ); document.write( "the supplement is 180 - 66 = 114 \n" ); document.write( "the formula of x = 1/2 * (180 - x) + 9 becomes 66 = 114 / 2 + 9 \n" ); document.write( "you get 66 = 57 + 9 = 66, confirming that 66 degrees for the angle is correct. \n" ); document.write( "your solution is that the smaller angle is 66 degrees.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |