Question

if the angles of a triangle are in the ratio 2:3:4, find the angles​

Answer 1

Answer:

let the common ratio be x.

2x:3x:4x

As we know the sum of angles in a triangle = 180degree

Therefore, 2x+3x+4x=180 degree (sum of angles in a triangle)

Therefore 9x= 180degree

x= 180/9

x= 20 degree

Hence,

1st angle = 2x= 2 multiplied by 20 = 40degree

2nd angle= 3x =60 degree

3rd angle =4x = 80 degree

Step-by-step explanation:

Answer 2

Answer:

40°, 60°, 80°

Step-by-step explanation:

As the ratio is 2:3:4, let the angles are 2a, 3a and 4a.

We know, sum of angles of triangle is 180°. So 2a, 3a and 4a must add upto 180°.

=> 2a + 3a + 4a = 180°

=> 9a = 180°

=> a = (180/9)°

=> a = 20°

Now, putting x value in each angles.

Therefore, angles are:

First angle = 2a = 2(20°) = 40°

Second angle = 3a = 3(20°) = 60°

Third angle = 4a = 4(20°) = 80°