Angle.
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No. A corner is a vertex. The plural, for corners, is vertices - not verticies as you chose to spell it.
They are geometric shapes called polygons
There aren't any. Geometric is an adjective and you need a noun to go with it before it is possible to consider answering the question. There are geometric sequences, geometric means, geometric theories, geometric shapes. I cannot guess what your question is about.
If, by geometric number (?) you mean geometric mean, then the answer is 40.