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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 = 70^\circ, \angle STU = 30^\circ, and \angle TUS = 70^\circ, then what is \angle NSZ + \angle NUZ in degrees? 

 
 Nov 4, 2023

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