Question

If the angles of a triangle are in the ratio 2:3:4, find the value of each angle.​

Answer 1

Answer:

sum of the angles of a triangle is 180°

if the common ratio is x then

2x+3x+4x=180

=> 9x=180

=> x=180 /9=20

1st angle =2*20°=40°

2nd angle=3*20°=60°

3rd angle=4*20°=80°

Answer 2

Answer:

The angles of triangle are  40, 60 and 80.

Step-by-step explanation:

It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

$2x + 3x + 4x = 180\\9x = 180\\x = 20$

The value of x is 20.

$2x = 2(20) = 40\\\\3x = 3(20) = 60\\\\4x = 4(20) = 80$

Therefore the angles of triangle are  40, 60 and 80.