Home
Class 10
MATHS
In the given figure, PQ is tangent at a ...

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

Text Solution

Verified by Experts

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^@`
Promotional Banner

Similar Questions

Explore conceptually related problems

In the given figure, PQ is a tangent at a point R of the circle with centre O. If angle TRQ = 30^(@) , then angle PRS is equal to

In figure, PQ is a tangent at a point R of the circle with centre O. If /_TRQ = 30° , find /_PRS .

In the given figure, PQ is the tangent at a point C on a circle with centre O. If AB is a diameter and |__CAB=30^(@) , find |__PCA .

In Fig.10.52,PQ is tangent at a point R of the circle with centre O. If /_TRQ=30o , find m/_PRS .(FIGURE)

In Fig. P Q is tangent at a point R of the circle with centre O . If /_T R Q=30^o , find /_P R S . (FIGURE)

In the given figure AC is a tangent to the circle with centre O. If angleADB=55^(@) , find x and y. Give reason for your answer.

In figure PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and angleCAB = 30^@ , find anglePCA

In the figure PT is a tangent to the circle with centre 'O' then x =

In the figure, PA is a tangent from an external point P to a circle with centre O. If anglePOB = 115^(@) , find angleAPO .