We have the following formula for the interior angle of a regular polygon:
[tex]\text{ internal angle = }\frac{\text{ sum of interior angles }}{n}[/tex]
where n is the number of sides of the polygon.
Then, in this case we have that n = 100, therefore:
[tex]\text{ internal angle = }\frac{17640}{100}=176.4\degree[/tex]
therefore, the measure of just one of the interior angles is 176.4 degrees
