The angle of the altitude of Polaris is equal to the observer's latitude. However, this is only true if you are in the Northern Hemisphere. For example, at the North Pole it is directly overhead and at the equator it is on the horizon and at 45 degrees North it is 45 degrees above you.
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66.5 degrees
The altitude is the segment from an angle of a triangle to the side opposite of the angle which is intersected perpendicularly by the altitude., the angle bisector cuts an angle into two congruent angles, and a median forms two congruent line segments.
All triangles have an altitude. In fact they all have three of them. Whether or not they have an altitude, the important thing when trying to determine the length of the hypotenuse is what information you have on the lengths of the sides. Altitudes, medians can help determine the lengths of sides, as can angles. You need a minimum of 3 pieces of information. There is only one in the question: the fact that the triangle has a right angle.
angle sum of a parallelogram
It depends on which angle is labelled M.