Question

IN the figure, PQ is a diameter of circle with center O and PR is a chord such that angle QPR =30degree if the tangent AR R intersects PQ extended at S, then prove that QR=QS

Answer 1

Step-by-step explanation:

angle prq is equal to 90 degree as pq is a diameter

angle qpr is 30 degree

angle orp is 30 degree since op=or

orp{orq- orp) =60 degree

qrs =90

Qsr = 30 degree from these results you can sayangle qrs = qsr

Qr=Qs

proved