A polygon (with more than 3 sides) can have an angle of any measure between 0 and 360 degrees. If it is a reflex angle, it cannot have a supplement. Even if a supplementary angle exists, its size is indeterminate.
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Each interior angle of a regular 24 sided polygon is 165 degrees
If the polygon is regular, the measure of one interior angle of a 24 side polygon is 165 degrees.
Each exterior angle measures 15 degrees
Exterior angle: 24 degrees Interior angle: 156 degrees
Providing that it is a regular polygon then each exterior angle measures 24 degrees and each interior angle measures 156 degrees