Use the informations given in the following figure to find the values of x and y.

In △ ABC and △ ACD,

AB = AD (Given)

BC = CD (Given)

AC = AC (Common side)

Using SSS congruency criterion,

△ ABC ≅ △ ACD

By corresponding parts of congruent triangles,

∠BCA = ∠DCA

Hence, y + 10° = 2y - 25°

⇒ 2y - y = 25° + 10°

⇒ y = 35°

Similarly, by corresponding parts of congruent triangles,

∠BAC = ∠DAC

Hence, 3x - 10° = 2x + 5°

⇒ 3x - 2x = 5° + 10°

⇒ x = 15°

Hence, the value of x = 15° and y = 35°.