It one angle of a triangle is 100° and the other two angles are in t

1.	It one angle of a triangle is 100° and the other two angles are in the ratio 2: 3. Find the angles.
Answer» Given that one of the angles of the given triangle is 100°. Also given that the other two angles are in the ratio 2: 3. Let one of the other two angles be 2x. Therefore, the second angle will be 3x. We know that the sum of all three angles of a triangle is 180°. 100° + 2x + 3x = 180° 5x = 180° – 100° 5x = 80° x = 80/5 x = 16 2x = 2 ×16 2x = 32° 3x = 3×16 3x = 48° Thus, the required angles are 32° and 48°.

It one angle of a triangle is 100° and the other two angles are in the ratio 2: 3. Find the angles.

Answer»

Given that one of the angles of the given triangle is 100°.

Also given that the other two angles are in the ratio 2: 3.

Let one of the other two angles be 2x.

Therefore, the second angle will be 3x.

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

100° + 2x + 3x = 180°

5x = 180° – 100°

5x = 80°

x = 80/5

x = 16

2x = 2 ×16

2x = 32°

3x = 3×16

3x = 48°

Thus, the required angles are 32° and 48°.