document.write( "Question 164687: The measure of one angle of a triangle is 20 degrees more than the measure of the second angle. The measure of the third angle is 30 degrees more than twice the sum of the measures of the first two angles. Find the measure of each angle in the triangle. \n" ); document.write( "
Algebra.Com's Answer #121350 by KnightOwlTutor(293)![]() ![]() You can put this solution on YOUR website! <1=x \n" ); document.write( "<2=x+20 \n" ); document.write( "<3=2(x+x+20)+30=4x+40+30=4x+70 \n" ); document.write( "<1+<2+<3=180\r \n" ); document.write( "\n" ); document.write( "x+x+20+4x+70=180\r \n" ); document.write( "\n" ); document.write( "Combine like terms\r \n" ); document.write( "\n" ); document.write( "6x+90=180\r \n" ); document.write( "\n" ); document.write( "Subtract 90 from both sides\r \n" ); document.write( "\n" ); document.write( "6x=90\r \n" ); document.write( "\n" ); document.write( "divide both sides by 6\r \n" ); document.write( "\n" ); document.write( "x=15\r \n" ); document.write( "\n" ); document.write( "Let's check\r \n" ); document.write( "\n" ); document.write( "<1=15 \n" ); document.write( "<2=15+20=35 \n" ); document.write( "<3=2(35+15)+30=130\r \n" ); document.write( "\n" ); document.write( "15+35+130=180\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |