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  4. These are numeric entry type questions. In the given figure, a quadrilateral ABCD is inscribed in a circle and BD is a diagonal passing through the centre of the circle ' O '. Then, angle BOC + angle AOD =

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Q. These are numeric entry type questions.
In the given figure, a quadrilateral $ABCD$ is inscribed in a circle and $BD$ is a diagonal passing through the centre of the circle ' $O$ '. Then, $\angle BOC +\angle AOD =$____Mathematics Question Image

Geometry

Solution:

image
$\therefore \angle BOC +\angle AOD =2 \angle BDC +2 \angle ABD = $
$80^{\circ}+60^{\circ}=140^{\circ}$