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
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Algebra.Com's Answer #496245 by ankor@dixie-net.com(22740)![]() ![]() 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( " |