Any value you like, between 0 and 360 degrees. And the word is exterior, not extirior.
The sum of the exterior angles of a polygon is 360 degrees, however many sides it has. If the polygon is regular (and only then) the value of each angle can be calculated. In the case of a 24-gon each would be 360/24 = 15 degrees.
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Each interior angle of a regular 24 sided polygon is 165 degrees
A regular 24 sided polygon has 24 lines of symmetry.
icosakaitetragon, but most mathematicians use "24-gon."
The sum of the interior angles of a 24 sided shape is 180*(24 - 2) = 180*22 = 3960 degrees. If all the angles of the shape are equal then each one is 3960/24 = 165 degrees.
Each exterior angle measures 15 degrees