If one angle of a triangle is 60° and the other two angles are in th

1.	If one angle of a triangle is 60° and the other two angles are in the ratio 1: 2, find the angles.
Answer» Given that one of the angles of the given triangle is 60°. Also given that the other two angles of the triangle are in the ratio 1: 2. Let one of the other two angles be x. Therefore, the second one will be 2x. We know that the sum of all the three angles of a triangle is equal to 180°. 60° + x + 2x = 180° 3x = 180° – 60° 3x = 120° x = 120°/3 x = 40° 2x = 2 × 40° 2x = 80° Hence, we can conclude that the required angles are 40° and 80°.

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

Answer»

Given that one of the angles of the given triangle is 60°.

Also given that the other two angles of the triangle are in the ratio 1: 2.

Let one of the other two angles be x.

Therefore, the second one will be 2x.

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

60° + x + 2x = 180°

3x = 180° – 60°

3x = 120°

x = 120°/3

x = 40°

2x = 2 × 40°

2x = 80°

Hence, we can conclude that the required angles are 40° and 80°.