In the figure, PQ and QR are chords of the circle PQR. QRS is a straight line and PR is equal to RS, < PSR is 20o. What is the size of <POQ.

70^o

90^o

80^o

40^o

60^o

Download Offline App Ask a Question

Explanation

Correct Option

Video Explanation

No video available

Post your Contribution

DarleyA

6 years ago

Triangle PSR is isosceles therefore angle RSP=RPS=20. Hence, angle PRQ=40. But this 40 is angle subtended at the circumference of the circle by chord PQ. Same chord PQ subtends POQ at the centre. Hence POQ=2X40=80(Angle subtended at centre is twice angle subtended at circumference)