1.

In the given figure, PQ is tangent at a point R of the circle with centre O. If , find `m anglePRS`.

Answer» As `ST` is passing through center of the circle,
`:. ST` is the diameter of the circle.
`PQ` is the tangent at point `R` of the circle.
So, `/_TRS = 90^@`
Also, as `PRQ` is a straight line,
`/_PRS+/_SRT+/_QRT = 180^@`
`/_PRS+90^@+30^@ = 180^@`
`:. /_PRS = 60^@`


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