In fig., we have

Theorem Used:

If two corresponding angles of two triangles are equal, the triangles are said to be similar.

Consider ΔADB and ΔEDF,

∠ADB = ∠EDF (Vertical angles)

∠ABD = ∠FED (Alternate angles)

∠BAD = ∠EFD (Alternate angles)

∴ ΔADB ~ ΔEDF (AAA criterion)

⇒ 6y = 40

⇒ y = 6.67

Similarly, ΔADE ~ ΔCDE (AA criterion)

⇒ x = 3.75

Hence, the values of x and y are 3.75 and 6.67.