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In the following figure, O is the centre of the circle. Find the values of a, b and c. - Mathematics

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Question

In the following figure, O is the centre of the circle. Find the values of a, b and c.

Sum
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Solution


Here, `b = 1/2 xx 130^circ` 

(Angle ate he centre is double the angle at the circumference subtended by the same chord)

`=>` b = 65°   

Now, a + b = 180° 

(Opposite angles of a cyclic quadrilateral are supplementary)

`=>` a = 180° – 65° = 115°

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