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Question
Given O is the centre of the circle and ∠AOB = 70°. Calculate the value of:
- ∠OCA,
- ∠OAC.
Solution
Here, ∠AOB = 2∠OCA ...(Angle at the center is double the angle at the circumference by the same chord)
`=>` ∠ACB =`70/2` = 35°
Now, OC = OA ...(Radii of same circle)
`=>` ∠OCA = ∠OAC = 35°
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