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

∠ADB = ∠ACB = 50° (∵ angles in same segment are equal.)

We know that sum of angles in a triangle is 180°.

Considering △ADB,

⇒ ∠ADB + ∠DAB + ∠ABD = 180°
⇒ 50° + 42° + x° = 180°
⇒ x° + 92° = 180°
⇒ x° = 180° - 92°
⇒ x° = 88°

Hence, the value of x = 88°.