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Question

Find the value of the unknown in the following figures.


Solution

In the given figure, AC is a tangent to the circle & O is the centre of the circle.

CBO = 900 (Line from the centre to the tangent of the circle is always perpendicular)

ABO = 900 (Line from the centre to the tangent of the circle is always perpendicular)

Now, In  ΔCBO, COB = (1800900150) = 750

Now, In  ΔAOB, AOB = (1800900400) = 500

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