From the diagram given below, if ∠AOB is the angle subtended by an arc AB, then what is the relation between ∠AOB and ∠ACB?(a) ∠AOB = ∠ACB(b) ∠AOB = 2∠ACB(c) ∠AOB = 3∠ACB(d) ∠AOB = 0.5∠ACBThis question was addressed to me in examination.My doubt is from Angle Subtended by an Arc of a Circle topic in portion Circles of Mathematics – Class 9

From the diagram given below, if ∠AOB is the angle subtended by an a

1.	From the diagram given below, if ∠AOB is the angle subtended by an arc AB, then what is the relation between ∠AOB and ∠ACB?(a) ∠AOB = ∠ACB(b) ∠AOB = 2∠ACB(c) ∠AOB = 3∠ACB(d) ∠AOB = 0.5∠ACBThis question was addressed to me in examination.My doubt is from Angle Subtended by an Arc of a Circle topic in portion Circles of Mathematics – Class 9
Answer» Right answer is (B) ∠AOB = 2∠ACB Easiest explanation: According to theorem 10.8, the angle subtended by an arc at the CENTRE is DOUBLE the angle subtended by it at any point on the remaining PART of the CIRCLE.

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