Question

if the sum of the interior angles of 100-gon is 17640°, then what is the measure of just one of the interior angles?

Answer 1

We have the following formula for the interior angle of a regular polygon:

`\text{ internal angle = }\frac{\text{ sum of interior angles }}{n}`

where n is the number of sides of the polygon.

Then, in this case we have that n = 100, therefore:

`\text{ internal angle = }(17640)/(100)=176.4\degree`

therefore, the measure of just one of the interior angles is 176.4 degrees