# O is the centre o

In ΔAPB, sum of all angle is equal to 180°

PAB + ABP = 180 - APB

PAB + ABP = 180 – 80 = 100 --------- (1)

Also by the theorem:-

The angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on circle.

and

Substituting above values in eq. (1)

AOD + BOC = 200

Also, as the sum of angles around the point is equal to 360°

AOD + BOC + AOB + COD = 360

AOB + COD = 360 – 200 = 160°

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