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Going round you turn 1/7th of a full revolution (2*pi/7) at each corner. (Or 360/7 degrees at each corner if you prefer units of degrees).

The interior angle is pi minus this amount of turn (or 180 degrees minus this amount of turn if you prefer).

Ther rest is pure arithmetic, which I won't insult your intelligence by doing for you.

Or will I.

360(1/2 - 1/7) = 360(7-2)/14 = 5*180/7 =128 4/7 ~= 129 degrees

~(3 2/7)(1/2-1/7) = 23/7 * (7-2)/14 = 115/98=117/98~=1.194 radians

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Q: What is the measure of interior angle of a regular polygon with 7 side?
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