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That's a sphere.
Because their angles are factors of 360 and angles around a point add up to 360 degrees
No. Only 2 altitudes can intersect at a point. * * * * * True but even they do not meet in the interior. The altitudes of a right angles triangle meet at the right angled vertex. The vertex is at the boundary of the triangle, not in the interior.
Angles that share a common end point and a common line segment but no common interior point (two angles that are next to each other)