Question

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

Answer 1

Step-by-step explanation:

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=1802x+3x+4x=180

9x=1809x=180

x=20x=20

The value of x is 20.

2x=2(20)=402x=2(20)=40

3x=3(20)=603x=3(20)=60

4x=4(20)=804x=4(20)=80

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

Answer 2

Answer:

1st angle = 40°

2nd angle =60°

3rd angle = 80°

Step-by-step explanation:

Sum of the ratios = 2+3+4=9

1st angle = 2/9x180 = 40°

2nd angle = 3/9x180=60°

3rd angle = 4/9x180 = 80°