Question

PQL and PRM are tangents to the circle with centre o at the points Q and R ,respectively and S is a point on the circle such that angle SQL=50 and angle SRM=60. Find angle QSR.

Answer 1

SEE THE DIAGRAM ATTACHED
Join Q to R
<QSR = <SQL = 50 degrees
<RQS = <MRS = 60 degrees
Angle between a chord and a tangent equals the angle subtended by the chord at the circumference in the segment opposite the angle

∴ <QSR = 180 - (60+50) = 70 Degrees (Angles of a triangle add up to 180 degrees)

Answer 2

Answer:79

Step-by-step explanation:PQO=LQO=90°

SOQ=LQO-LQS

SOQ=40°

SIMILARLY

SRO=30

WE KNOW

OQ,OS,OR are equal radi

There for we have 2 isosceles triangle

So

QSR=40+30=70