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In the given, if O is the centre of the...

In the given, if O is the centre of the circle, then the value of x is

A

70

B

60

C

40

D

200

Text Solution

Verified by Experts

The correct Answer is:
A
In the given figure, `anglePOQ=140^(@)=,anglePOR=80^(@)`
`:.angleQOR=360^(@)-(anglePOQ+anglePOR)`
`=360^(@)-(140^(@)+80^(@))=360^(@)-220^(@)=140^(@)`
Again, the angle in circle produced by the are `overset (frown)(QR) =angleQPR= x^(@)` and the central angle = `angleQOR=140^(@)`
`:. angleQPR=(1)/(2)angleQOR`[ by theorme-34]
`=(1)/(2)xx140^(@)=70^(@). :.x^(@)=70^(@):.x=70`
`:. (a)` is correct
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