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What is the number of sides of the original polygon if the sum of the inner angles of another polygon is 2520 degrees after cutting off an angle?
Let the number of sides of the new polygon be n,
Then (n-2) &; 180 ° = 2520 °,
The solution is n = 16,
① If the number of sides is increased by 1 after cutting off a corner, the number of sides of the original polygon is 15,
② If the number of edges remains unchanged after cutting off a corner, the number of edges of the original polygon is 16,
③ If the number of sides is reduced by 1 after cutting off a corner, the number of sides of the original polygon is 17,
So the number of sides of a polygon can be 15, 16 or 17
So the answer is: 15, 16 or 17
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