Question

if the angle of a triangle are in the ratio 2 ratio 3 ratio 4 then the difference between the greatest and the smallest angle is over

Answer 1

As the ratio of the angles of a triangle are 2:4:3,let the angles are 2x ,4x and 3x. As we know the sum of angles of a triangle = 180°
2x +4x+3x = 180° => 9x =180° => x=180°/9=20° . It is clear that among the three angles ,2x is smallest angle , so the
smallest angle = 2*20° = 40°

Answer 2

2x + 3x + 4x = 180

9x = 180

x = 20

2x = 40

3x = 60

4x = 80

=> difference between largest and smallest =

= 4x - 2x

= 80 - 40

=> 40