Question

the four angles of quadrilateral are in the ratio 7:5:2 find the measurement of angles​

Answer 1

Answer:

Consider the angles of a quadrilateral as 2x, 4x, 5x and 7x

In a quadrilateral, we know that the sum of all the angles is 360

So we can write it as

2x + 4x + 5x + 7x = 360

By addition

18x = 360

By division

x = 20

Now by substituting the value of x

2x = 2(20) = 40

4x = 4(20) = 80

5x = 5(20) = 100

7x = 7(20) = 140

Therefore, the angles are 40, 80, 100 and 140.