The sum of the interior angles of any convex polygon with n sides is n * 60 degrees. Any given interior angle, however, can be anything from just greater than 0 degrees to just less than 180 degrees.
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It cannot be a regular polygon with interior angles of 24 degrees since the smallest interior angle in a regular polygon is 60 degrees. If it is an irregular polygon, then any one of them, with 3 or more sides, can have an angle of 24 degrees.
Any irregular polygon does not have equal sides and equal interior angles
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
If its a regular polygon then 180-interior angle and divide the answer into 360 which will give the number of sides of the polygon.
That would depend if it's a regular or an irregular polygon but in both cases all the interior angles add up to 3420 degrees