text: the measure of the angles of a triangle are in ratio 2:3:4. find the measures of the angles of the triangle?   let the angles be 2x, 3x and 4x we know that the sum of the angles of a triangle is 180 degrees. therefore, 2x + 3x + 4x = 180 9x = 180 x = 180/9 x = 20 the measures of the angles are: 2x = 2*20 = 40 degrees 3x = 3*20 = 60 degrees 4x = 4*20 = 80 degrees