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CBSE Class 10 Answered

In given figure, PQL and PRM are tangents to the circle with centre O at the points Q and R respectively. S is a point on the circle such that SQL =50o and SRM=60o. Find the value of QSR.
Asked by Topperlearning User | 07 Feb, 2014, 02:50: PM
answered-by-expert Expert Answer

In given figure, O is the centre of the circle.

Therefore, DOQL=DORM =90o

(radius is perpendicular to tangent at the point of contact)

DOSQ=DOQS= 90°-50°=40°

DRSO=DSRO=90°-60°=30°

Thus , DQSR = DOSQ+DOSR = 40°+30°=70°

Answered by | 07 Feb, 2014, 04:50: PM

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