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It is known that the sum of the inner angles of another polygon is 1620 ° after a polygon cuts off an angle
First of all, there are three situations
1. The cut edge does not coincide with any vertex
At this point, there is an additional corner and edge
2. The cut edge coincides with a vertex
At this time, there are not many corners and edges
3. The cut edge coincides with two vertices
A corner and an edge are missing
Then the number of edges of the new graph is 1620 / 180 + 2 = 11
11-1=10
11+1=12
So the number of sides of the original polygon is 10, 11, 12
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