Question

If the three angles at a point are in the ratio 1 : 4 : 7, find the value of each angle?

Answer 1

We know that the sum of angles at a point is 360°.

Given the three angles are in the ratio 1 : 4 : 7.

Let the three angles be 1x, 4x, 7x.

∴ x° + 4x° + 7x° = 360°

12x° = 360°

x° = `(360^circ)/12`

x° = 30°

∴ 1x° = 30°

4x° = 4 × 30° = 120°

7x° = 7 × 30° = 210°

∴ The three angles are 30°, 120° and 210°.