Answer
70$^{\circ}$
Work Step by Step
A parallelogram consists of two pairs of parallel sides. This gives it the property that opposite sides and angles are of equal length and size, respectively. It is also a rule that the internal angles of a parallelogram (or any four-sided shape) adds up to 360$^{\circ}$. Therefore, if we know that, because they are opposite each other, m$\angle$Q = m$\angle$N and m$\angle$M = m$\angle$P. It is given that m$\angle$M = 110$^{\circ}$, therefore m$\angle$P = 110$^{\circ}$. Out of the 360$^{\circ}$ in the parallelogram, this leaves 140$^{\circ}$ between m$\angle$Q and m$\angle$N, which are the same size, therefore are both 70$^{\circ}$.
