Question

the ratio of angle in a tringle is 2:3:4. find the measure of each angle

Answer 1

2x+3x+4x=9x=180
x= 20
hence the angles are 2x=40°
3x=20*3=60°
4x=4*20=80°
hope this helps

Answer 2

Given, ratio of angle in a tringle is 2:3:4

So let the angles be 2x, 3x and 4x

We know that, sum of all three angles of a triangle is 180°


According to the question,

2x + 3x + 4x = 180

9x = 180

x = $\dfrac{180}{9}$

x = 20


1st angle = 2x = 2 × 20 = 40°

2nd angle = 3x = 3 × 20 = 60°

3rd angle = 4x = 4 × 20 = 80°



$\therefore{}$ The angles of the triangle are 40°, 60° and 80° respectively.




Thanks for the question :)

Hope my answer helps you :)