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Step-by-step explanation:
Since AB is the side of the regular pentagon, Angle AOB will be equal to (360/5) = 72 degree each side of the pentagon will have a same angle at the centre of the circle 'O' hence Pentagon which has 5 equal sides will subtend 72 degree angle. 360 is to be divided to 5 equal parts.
Similiarly Angle AOC will be equal to 360/8 = 45 degree
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