Discussion

Explanation:

We know sum of all interior angles of a polygon = (n - 2) × 180°

∴ Each interior angle of a regular polygon = n-2×180°n=180°-360°n.

Now for interior angles to be integer, 360°n should be an integer i.e., n should be a factor of 360 and greater than 2.

Total factors of 360 = 24

Regular Polygons satisfying the conditions specified above are 22 (n > 2).

Hence, 22.

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