document.write( "Question 74783: the measure of the second angle of a triangle is twice as great as that of the first angle. If the measure of the thrid angle is 20 degrees greater than that of the second angle, what is measure of the third angle \n" ); document.write( "
Algebra.Com's Answer #53755 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x=the measure of the first angle \n" ); document.write( "Then 2x=the measure of the second angle \n" ); document.write( "And (2x+20)=the measure of the third angle\r \n" ); document.write( "\n" ); document.write( "Now we know that all three angles must add up to 180 degrees. So:\r \n" ); document.write( "\n" ); document.write( "x+2x+(2x+20)=180 get rid of parens\r \n" ); document.write( "\n" ); document.write( "x+2x+2x+20=180 subtract 20 from both sides \n" ); document.write( "x+2x+2x+20-20=180-20 collect like terms\r \n" ); document.write( "\n" ); document.write( "5x=160 divide both sides by 5 \n" ); document.write( "x=32 degrees--------------------first angle\r \n" ); document.write( "\n" ); document.write( "2x+20=2(32)+20=64+20= 84 degrees third angle-----------------------ans\r \n" ); document.write( "\n" ); document.write( "2x=2(32)=64 degrees ------------second angle\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "84+64+32=180 \n" ); document.write( "180=180\r \n" ); document.write( "\n" ); document.write( "also 64 equals two times 32 and 84 equals 2 times 32 +20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |