Question

The angles of a triangle are in the ratio 2:3:4then find the difference between the greater and smaller angle​

Answer 1

⇔⇔⇔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°.