In figure ABCD is a cyclic quadrilateral; O is the centre of the circle. If angle BOD = 160°, find the measure of angle BAD.

100^o

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80^o

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90^o

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70^o

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Solution

The correct option is B
80^o

Consider the arc BCD of the circle. This arc makes angle BOD = 160° at the centre of the circle and angle BAD at a point on A on the circumference.

angle BAD = angle BOD/2 = 80°

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Similar questions

Consider the cyclic quadrilateral ABCD. If O is the centre of the circle and $∠$ BOD = $160^{\circ}$ , then find the measure of $∠$ BPD.

In the given figure, ABCD is a cyclic Quadrilateral. O is the centre of the circle and $∠ B O D = 160^{\circ}$ , find the measure of $∠ B P D .$

∠

^{\circ}

∠

∠ B O D = 160^{\circ}

∠ B P D

Consider the cyclic quadrilateral ABCD. If O is the centre of the circle and $∠$ BOD = $160^{\circ}$ , then find the measure of $∠$ BPD.

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