Question

The angles of a quadrilateral are in the ratio 2 : 3 : 3 : 4. Find the angles.

Answer 1

Given:

The angles are in the ratio 2 : 3 : 3 : 4, so let the angles be 2x, 3x, 3x and 4x.

Sum of interior angles of a quadrilateral = 360°.

Step-wise calculation:

1. Add the angles:

2x + 3x + 3x + 4x = 12x

2. Set equal to 360°:

12x = 360°

3. Solve for x:

`x = 360^circ/12`

= 30°

4. Find each angle:

2x = 2 × 30°

= 60°

3x = 3 × 30°

= 90°

3x = 90°

4x = 4 × 30°

= 120°

The four angles are 60°, 90°, 90° and 120°.