Answer :

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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