document.write( "Question 970437: The measure of a given angle is 30° more than 4 times its supplementary angle. Find the measure of the given angle. \n" ); document.write( "
Algebra.Com's Answer #593055 by Boreal(15235) You can put this solution on YOUR website! Supplementary angles add to 180 degrees. \n" ); document.write( "Let the smaller angle=x \n" ); document.write( "The larger angle is 4x+30 \n" ); document.write( "They add to 180 degrees. \n" ); document.write( "Substitute.\r \n" ); document.write( "\n" ); document.write( "x + (4x+30)=180\r \n" ); document.write( "\n" ); document.write( "5x +30=180\r \n" ); document.write( "\n" ); document.write( "subtract 30 from both sides. \n" ); document.write( "5x=150. \n" ); document.write( "Divide by 5 on both sides\r \n" ); document.write( "\n" ); document.write( "x=30 \n" ); document.write( "4x+30=4(30) +30=150\r \n" ); document.write( "\n" ); document.write( "The two angles are 30, and 150. \n" ); document.write( "The given angle is 150. (answer the question!!!) Its supplementary angle is 30, and 150 is 30 more than 4 times 30.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |