The correct option is
D 110o
Angle sum property of a triangle is the sum of all the interior angles of a triangle is 180°.
In △XAZ,
⇒ ∠XAZ + ∠AXZ + ∠XZA = 180°
⇒ ∠XAZ + 35° + 25° = 180°
⇒ ∠XAZ + 60° = 180°
⇒ ∠XAZ = 180° - 60° = 120°
We can see that
∠XAZ is an exterior angle to
△YAZ.
So,
∠XAZ and ∠YAZ are adjacent angles forming a linear pair on straight line XY.
∴ ∠YAZ + ∠XAZ = 180°
⇒ ∠YAZ + 120° = 180°
⇒ ∠YAZ = 180° - 120° = 60°
Similarly,
∠YZA and ∠YZT are adjacent angles forming a linear pair on straight line AT.
∴ ∠YZT + ∠YZA = 180°
⇒ ∠YZA + 130° = 180°
⇒ ∠YZA = 180° - 130° = 50°
In △YAZ,
⇒ ∠YAZ + ∠YZA + ∠AYZ = 180°
⇒ 60° + 50° + ∠AYZ= 180°
⇒ 110° + ∠AYZ = 180°
⇒ ∠AYZ = 180° - 110° = 70°
Again, ∠AYZ and ∠AYQ are adjacent angles forming a linear pair on straight line ZQ.
∴ ∠AYZ + ∠AYQ = 180°
⇒ ∠AYQ + 70° = 180°
⇒ ∠AYQ = 180° - 70° = 110°
So, value of x is 110°.