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In the adjoining figure angle QPO=25^(@)...

In the adjoining figure `angle QPO=25^(@)` and `angle SPR = 20^(@)` , find the value of `angle QOR`.

A

`70^(@)`

B

`180^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D

`angle QPR=25^(@)+20^(@)45^(@)`
Now, the angle subtended by an arc at center is twice the angle subtended by the same arc at the remaining part of the circle.
`therefore angle QOR=2angle QPR`
`=2xx45^(@)`
`= 90^(@)`.
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