Well, 30 minus 2 is 28. 28 times 180 is 5040. 5040 divided by 30 is 168. Your answer is... (drumroll please) 168 degrees!
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170.27 degrees
Pick a point around the center of the polygon. Join each vertex to this point. You will now have 10 triangles. The total angle of these 10 triangles is 10x180 degrees. Now you need to subtract the angles of the ten triangles at the center (which is 360 degrees). Therefore total internal angles is (10x180)-360 = 1800-360 which is 1440 degrees. A 10 sided polygon has 20 internal angles. So each angle would be 1440/20 = 144/2 = 72 degrees
Providing that it is a regular 15 sided polygon then each interior angle will be 156 degrees
Each interior angle of the regular 8 sided octagon measures 135 degrees
Sum of the interior angles of a n-gon = (n-2)*180 degrees. So, for a polygon with 20 sides, the sum og the 20 interior angles is (20-2)*180 = 18*180 = 3240 degrees. Since it is a regular polygon, all interior angles are equal, and each one is 3240/20 degrees = 162 degrees.