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

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

Solution:

Given that,

Angles of a triangle are in the ratio 1: 2: 3

Let the angles be x, 2x, 3x

∴ We know that,

Sum of all angles of triangles is 180°

x + 2x + 3x = 180°

⇒ 6x = 180°

⇒ x = 180°/6

⇒ x = 30°

Since x = 30°

2x = 2(30)° = 60°

3x = 3(30)° = 90°

Therefore, angles are 30°, 60°, 90°

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