document.write( "Question 824137: one of the exterior angles of a triangle is 120 and the interior opposite angles are in the ratio 4:2 find the angles of the triangle
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #496245 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
one of the exterior angles of a triangle is 120 and the interior opposite angles are in the ratio 4:2 find the angles of the triangle
\n" ); document.write( ":
\n" ); document.write( "Find the interior angle: 180 - 120 = 60 degrees (Angle 3)
\n" ); document.write( ":
\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "4x = Angle 1
\n" ); document.write( "2x = Angle 2
\n" ); document.write( ":
\n" ); document.write( "4x + 2x + 60 = 180
\n" ); document.write( "6x = 120
\n" ); document.write( "x = 120/6
\n" ); document.write( "x = 20 is the multiplier
\n" ); document.write( "therefore
\n" ); document.write( "Angle 1: 4(20) = 80 degrees
\n" ); document.write( "Angle 2: 2(20) = 40 degrees
\n" ); document.write( "Angle 3: 60 degrees
\n" ); document.write( "
\n" ); document.write( "
\n" );