Question

The angles of a quadrilateral are in the ratio 2:5:5:6. Find the difference between the greatest and the

smallest angles. ​

Answer 1

Answer:

Step-by-step explanation:

Let the angles be 2x, 5x, 5x, and 6x

we know that sum of angles of quadrilateral =360

2x+5x+5x+6x = 360

18x = 360

x= 360/18

x= 20

therefore angles are 2x = 2x20 = 40

                                   5x = 5x20 = 100

                                   6x= 6x20 = 120

which can be stated as 40°,100°,100°,120°

now the difference between largest and smallest angles = 120 - 40

                                                                                                = 80