The angles of a quadrilateral are in the ratio 2: 4 : 5 : 7.

Let ∠">∠∠A = 2x∘​.
Then ∠">∠∠B = (4x)∘; ∠">∠∠C = (5x)∘ and ∠">∠∠D = (7x)∘
Since the sum of the angles of a quadrilateral is 360o, we have:
2x + 4x + 5x + 7x = 360∘   
⇒ 18 x = 360∘ ​
⇒ x = 20∘
∴  ∠">∠∠A = 40∘; ∠">∠∠B = 80∘; ∠">∠∠C = 100∘; ∠">∠∠D = 140∘