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There is no polygonal shape which has exactly those angles. It is possible for a concave polygon with 6 or more vertices to have the given angles.
No, not all three-dimensional shapes have vertices. A vertex is an angle point of any shape. Spheres do not have vertices.
A shape that consists of 4 points, 2 rays, and 1 right angle is a right triangle. In this triangle, the two rays represent the legs that form the right angle while the third side connects the endpoints of these rays. The four points can be the three vertices of the triangle and an additional point, such as the right angle's vertex. Thus, the answer is a right triangle.
A right angle triangle