Question

If O is the centre of the circle, find the value of x in the figure.

Answer 1

∠ABD = 40°, ∠CPD = 110° (Given) 

Form figure: 

∠ACD = ∠ABD = 40° [Angle in same segment] 

In ΔPCD, 

Angle sum property: 

∠PCD + ∠CPO + ∠PDC = 180° 

40° + 110° + x = 180° 

x = 180° − 150° = 30° 

The value of x is 30 degrees.