Question

If the angles of a triangle are in the ratio 2:3:4 ,then find the difference between the greatest and the smallest angles. Please answer.

Answer 1

hey mate

let the angle be 2x ,3x and 4x

we know sum of angle pf triangle is 180°
2x+3x+4x =180
9x=180
x=180/9
=20

so 2x=40°(smallest angle)

3x=60°
4x=80° (greatest angle)

so diffrence b/w them is 80-40= 40 °

hope it helps u
@arsheen❤❤
☆☆▪☆☆☆☆☆☆☆

Answer 2

⇔⇔⇔Your Question:-
If the angles of a triangle are in the ratio 2:3:4 ,then find the difference between the greatest and the smallest angles??

⇔⇔⇔Your Answer :-↓↓↓↓↓↓↓.
Let the angles of triangle be $2x , 3x , 4x$
WE know , 
           The Sum of the Angles of a Triangle is 180°.
Hence,
$2x + 3x + 4x = 180$
$9x = 180$
$x= \frac{180}{9}$
$x=20$
Hence Angles of triangle are 40°,60°,80°.

Difference between Greatest and smallest = 80°-40°
                                                                  = 40°.

__________________
__________________
ANKIT