49. Exemplar exercise problems XXIII

In figure, tangents \(PQ\) and \(PR\) are drawn to a circle such that \(\angle RPQ = 30^\circ\). A chord \(RS\) is drawn parallel to the tangent \(PQ\). Find the \(\angle RQS\).

[Hint: Draw a line through \(Q\) and perpendicular to \(QP\)]

 

 

\(\angle RQS = \) \(^\circ\)