Question

If one angle of a triangle is 60° and the other two angles are in the ratio 1 : 2, find the angles.

Answer 1

Given, one angle of a triangle is 60°.

Let the other two angles be x and 2x.

We know that, the sum of all angles in a triangle is equal to 180°.

So, x + 2x + 60° = 180°

⇒ 3x = 180° – 60°

⇒ 3x = 120°

⇒ x = 40°

So, the other two angles will be x = 40° and 2x = 2 × 40° = 80°.