# The angles of a triangle are in the ratio 1:2:3. Determine the three angles.

Given: the ratio of angles as 1:2:3

So, let the angle,

A = x, B = 2x, C = 3x

As we know, using theorem (1), in any triangle, sum of the three interior angles is 180 °.

So,

A + B + C = 180°

x + 2x + 3x= 180°

6x = 180°

x = 30°

So, the angles are,

A = x = 30°

B = 2x = 2 × 30° = 60°

C = 3x = 3 × 30° = 90°

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