Use the sine rule in a non-right-angled triangle

Triangle \(MNP\) is non-right-angled

Side \(m\) is opposite angle \(M\), side \(n\) is opposite angle \(N\), and side \(p\) is opposite angle \(P\)

Angles \(M\) and \(N\) are \(38^{\circ}\) and \(55^{\circ}\), respectively. Angle \(P\) is the third angle of the triangle

Side \(m\) is 75 cm. Side \(n\) is unknown and must be found; side \(p\) is not required

The known side-angle pair is side \(m\) opposite angle \(M\)