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In the given figure, PQR is a tangent to...

In the given figure, `PQR` is a tangent to the circle at `Q`, whose centre is `O` and `AB` is a chord parallel to `PR` such that `/_BQR=70^(@)`. Then, `/_AQB=?`

A

`20^(@)`

B

`35^(@)`

C

`40^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

`/_QAB=/_BQR=70^(@)`[ angles in alternate segments]
`/_ABQ=/_BQR=70^(@)` [alternate int. angles]
In , `DeltaAQB` we have
`/_AQB=180^(@)-(/_QAB+/_ABQ)=180^(@)-(70^(@)+70^(@))=40^(@)`
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