If the angles of a triangle are in the ratio 1: 2: 3, determine three

1.	If the angles of a triangle are in the ratio 1: 2: 3, determine three angles.
Answer» Given angles of the triangle are in the ratio 1: 2: 3 So take first angle as x, second angle as 2x and third angle as 3x We know that sum of all the angles of a triangle = 180° x + 2x + 3x = 180° 6x = 180° x = 180/6 x = 30° 2x = 30° × 2 = 60° 3x = 30° × 3 = 90° Therefore the first angle is 30°, second angle is 60° and third angle is 90°.

If the angles of a triangle are in the ratio 1: 2: 3, determine three angles.

Answer»

Given angles of the triangle are in the ratio 1: 2: 3

So take first angle as x, second angle as 2x and third angle as 3x

We know that sum of all the angles of a triangle = 180°

x + 2x + 3x = 180°

6x = 180°

x = 180/6

x = 30°

2x = 30° × 2 = 60°

3x = 30° × 3 = 90°

Therefore the first angle is 30°, second angle is 60° and third angle is 90°.