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Q.

In the given figure, if βˆ π΄π‘‚π΅ = 125Β°, then βˆ πΆπ‘‚π· is equal to:

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a

55Β°

b

45Β°

c

35Β°

d

62. 5Β°

answer is D.

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Detailed Solution

We have been given βˆ π΄π‘‚π΅ and we have to find the angle βˆ πΆπ‘‚π·.

We know that quadrilateral circumscribing a circle subtends an angle of 180Β° at the centre of a circle.

β‡’βˆ π΄π‘‚π΅ + βˆ πΆπ‘‚π· = 180Β°

β‡’ 125Β° + βˆ πΆπ‘‚π· = 180Β°

β‡’ βˆ πΆπ‘‚π· = 55Β°

Hence, βˆ πΆπ‘‚π· is equal to 55Β° .

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