If the angles of the triangle are in the ratio 2 : 3 : 4, find all the three angles.

Correct option is A

Given:

The angles of the triangle are in the ratio 2 : 3 : 4.

Formula Used:

1. The sum of the angles of a triangle:
Sum of angles = 180$$^\circ$$​

2. Let the angles be 2x, 3x, and 4x . Use the equation:
2x + 3x + 4x = 180$$^\circ$$​

Solution:

1. Solve for x :
2x + 3x + 4x = 180$$^\circ$$​
9x = 180$$^\circ$$​
x = 20$$^\circ$$​

2. Find the three angles:
- First angle: 2x = 2 \times 20 = 40$$^\circ$$​
- Second angle: 3x = 3 \times 20 = 60$$^\circ$$​
- Third angle: 4x = 4 \times 20 = 80$$^\circ$$​

Final Answer:

The three angles of the triangle are **40°, 60°, and 80°**.