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In the adjoining figure , O is the centr...

In the adjoining figure , `O` is the centre of the circle and `angleOAB=60^(@)`. Find `angle APC`.

A

`=60^(@)`

B

`=45^(@)`

C

`=30^(@)`

D

`=50^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A

In `Delta ABO`,
`AO=BO` (radii of a circle)
`rArr angle ABO=angleBAO`
`rArrangle ABC=60^(@)`
Now, arc `AC` subtends `angle ABC` and `angleAPC` at the circumference.
`thereforeangle APC=angle ABC`
`=60^(@)`
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