After a polygon cuts off an angle, the sum of the inner angles of the new polygon is 2520 degrees

Let the number of sides of the new polygon be n, then (n-2) · 180 ° = 2520 ° and the solution is n = 16. ① if the number of sides after cutting off a corner increases by 1, then the number of sides of the original polygon is 15. ② if the number of sides after cutting off a corner remains unchanged, then the number of sides of the original polygon is 16. ③ if the number of sides after cutting off a corner decreases by 1, then the number of sides of the original polygon is 17, so the number of sides of the polygon can be 15, 16 or 17 6 or 17

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