Question

the angles of the triangle are in the ration of 2:3:4 find all the angles.

Answer 1

Heya,

Given:-
Ratio of the angles = 2:3:4

To find:-
The angles of the triangle

Solution:-

2x + 3x + 4x = 180 deg [Angle sum property of triangle i.e all the angles of a triangle is equal to 180]
9x = 180
x = 180/9
x = 20

So the angles are,
2x = 2 × 20 = 40 deg.
3x = 3 × 20 = 60 deg.
4x = 4 × 20 = 80 deg.

Hence,
The angles of the triangle is 40, 60, 80
[ 40 + 60 + 80 = 180]

Hope my answer helps you :)

Regards,
Shobana

Answer 2

let the angles be 2x 3x and 4x
sum of terms ratio =2+3+4=9
sum of all angles of a triangle is equal to 180 degree then according to this x is equal to180/9
=20
then 2x=2×20=40°
3x=3×20=60°
4x=4×20=80°
now
sum of all angles=180°
40°+60°+80°=180°
180°=180°


this is your answer friend