Question

If the angles of an triangle are in ratio 2:3:4 than the difference between the greatest and smallest angle is

Answer 1

$2x + 3x + 4x = 180° \\ 9x = 180° \\ x = \frac{180}{9} = 20°$

Now,

$Smallest \: \: Angle = 40° \\ \\ Largest \: \: Angle</p><p> = 80° \\ \\ \\ Its \: \: Difference = (80 - 40) = 40$

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