Using the given information, find the value of x in the following figure :

Considering △ACB and △CDB,

∠CAB = ∠CDB = x° (∵ angles in same segment are equal.)

Considering △ACP,

∠CPB = ∠APD = 120° (∵ vertically opposite angles are equal.)

Since exterior angle in a triangle is equal to the sum of the opposite interior angles,

⇒ ∠CAP + ∠ACP = ∠APD
⇒ x° + 70° = 120°
⇒ x° = 120° - 70°
⇒ x° = 50°

Hence, the value of x = 50°.