Suppose that in a certain triangle, the degree measures of the exterior angles are in the ratio 2:3:4. If the largest interior angle measures y degrees, what is the value of y?
first you should calculate total of the ratios: 2+3+4=9 then divide 360 by 9 (because the total degrees of the exterior angles in polygon is 360) [tex]360 \div 9 = 40[/tex] at the end find the amount of the exterior angles: [tex]2 \times 40 = 80 \\ 3 \times 40 = 120 \\ 4 \times 40 = 160[/tex] the shortest exterior angle is 80 degrees so it has the largest interior angle: 180-80=100 the answer is 100
