Let M, N, and P be the midpoints of sides \(\overline{TU}\), \(\overline{US}\), and \(\overline{ST}\) of triangle STU, respectively. Let \(\overline{UZ}\) be an altitude of the triangle. If \(\angle TSU = 71^\circ\), \(\angle STU = 39^\circ\), and \(\angle TUS = 70^\circ\), then what is \(\angle NZM + \angle NPM\) in degrees?
