Question

If the ratio of three angles of a triangle is 2: 3: 4, find the angles.

• A. 20°, 40° and 60°
• B. 40°, 60° and 80°
• C. 60°, 80° and 100°
• D. 100°, 120° and 140°

Answer 1

The correct option is B

40°, 60° and 80°

Let an angle be 2x. Thus the remaining angles are 3x and 4x, so that,
2x + 3x + 4x = 180${}^{\circ }$
or, 9x = 180${}^{\circ }$
so, x = 20${}^{\circ }$
Hence, the angles are 40${}^{\circ }$, 60${}^{\circ }$ and 80${}^{\circ }$ respectively.