
The diagram shows two circles with the bigger circle passing through the centre, \(O\), of the smaller circle. The circles intersect at \(L\) and \(N\). \(PLM\) and \(MNR\) are straight lines. \(PN\) and \(LR\) intersect at \(Q\). Angle \(LMN=76^\circ\). Find, giving reason for each answer,
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