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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?

 Apr 20, 2020
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I got that angle NZM + angle NPM is 135 degrees.

 Apr 20, 2020

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