Question

If the angles of a triangle are in the ratio 2:3:4 find the angles

Answer 1

Hi!

Given, ratio of angles of a triangle is 2: 3: 4.

Let the angles be 2x, 3x and 4x.

∴ 2x + 3x + 4x = 180⁰ (Angle Sum Property)

⇒ 9x = 180⁰

⇒ x = 20⁰

∴ 2x = 2 × 20° = 40⁰

3x = 3 × 20° = 60⁰

4x = 4 × 20° = 80⁰

Thus, the angles of the triangle are 40°, 60° and 80°.

Cheers!