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Offline Centres

Name all the pairs of vertically opposite angles in the following figure.

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∠ AOB

and

∠ DOC

∠ AOP

∠ QOC

∠ POB

and

∠ DOQ

All of these

answer is D.

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Detailed Solution

When 2 line intersects, then their vertical opposite angles are equal in measure,
Here, in the figure for intersecting lines AC and BD, we have

∠ AOB

∠ DOC

(vertically opposite angles)
Similarity for intersecting lines AC and PQ we have,

∠ AOP

∠ QOC

(vertically opposite angles)
Also, for the intersecting lines PQ and BD we have,

∠ POB

∠ DOQ

(vertically opposite angles)
So, the pairs of vertically opposite angles in the given figure are,
(

∠ AOB

and

∠ DOC

∠ AOP

∠ QOC

) and (

∠ POB

and

∠ DOQ

)
Correct option is 4.

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