Question

the angles of a quadrilateral are x0, (x + 20° ), (x − 50° ) and 2x° . find the greatest angle.

Answer 1

x° + (x + 20)° + (x - 50)° + 2x°= 360°.......( Angles of a quadrilateral)

x + x + 20 + x - 50 + 2x = 360°

5x - 30= 360

5x= 360 + 90

5x= 390

x= 390/ 5

x= 78

The angles of the quadrilateral:

1. x° = 78°

2. (x + 20)° = 78+ 20= 98°

3. (x - 50) = 78- 50= 28°

4. 2x°= 2 × 78= 156°

Therefore, the greatest angle of the quadrilateral will be 156°