Write 'True' or 'False' and give reasons for your answer.
In the figure,$PQL$ and $PRM$ are tangents to the circle with center $O$ at the points $Q$ and $R$ respectively,and $S$ is a point on the circle such that $\angle SQL = 50^{\circ}$ and $\angle SRM = 60^{\circ}$. Then $\angle QSR$ is equal to $40^{\circ}$.

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(B) False.
Since $QL$ is a tangent at $Q$,the angle between the tangent and the chord $SQ$ is equal to the angle in the alternate segment. However,using the property of the radius being perpendicular to the tangent: $\angle OQS = 90^{\circ} - \angle SQL = 90^{\circ} - 50^{\circ} = 40^{\circ}$.
In $\triangle OSQ$,$OS = OQ$ (radii of the same circle),so $\angle OSQ = \angle OQS = 40^{\circ}$.
Similarly,for the tangent $RM$ at $R$,$\angle ORS = 90^{\circ} - \angle SRM = 90^{\circ} - 60^{\circ} = 30^{\circ}$.
In $\triangle OSR$,$OS = OR$ (radii of the same circle),so $\angle OSR = \angle ORS = 30^{\circ}$.
Therefore,$\angle QSR = \angle OSQ + \angle OSR = 40^{\circ} + 30^{\circ} = 70^{\circ}$.

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