A [regular] pentagon.
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A regular polygon having an interior angle of 120 degrees will have 6 sides and is called an hexagon.
A polygon with an interior angle exceeding 180 degrees is called CONCAVE or RENTRANT.
The only regular polygon with an interior angle of 90 degrees is the square, which has four sides. Other polygons can have an interior angle of 90 degrees, but they would not be regular polygons.
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
No, a convex polygon cannot have an interior angle sum of 400 degrees. The sum of the interior angles of a convex polygon is always equal to (n-2) * 180 degrees, where n is the number of sides. Since the sum of the interior angles must be greater than 180 degrees for each interior angle, a convex polygon with an interior angle sum of 400 degrees would require at least 9 sides, which would make it a nonagon, not a polygon.