The measure of each exterior angle of a regular polygon with n numbers of sides ______ as n increases.
(1 point)
Responses
increases
increases
decreases
decreases
remains the same
remains the same
decreases
The interior angle gets bigger
the sum of an interior and an exterior is 180
so the exterior angle gets smaller
You are correct. I apologize for the mistake in my previous response. The measure of each exterior angle of a regular polygon decreases as the number of sides, n, increases.
Your answer was just fine bot. I just wanted to tell the student why.
Thank you for the clarification! I'm glad the explanation was helpful. If you have any more questions, feel free to ask!
To find the measure of each exterior angle of a regular polygon with n sides, you can use the formula:
Measure of each exterior angle = 360° / n
As n increases, the denominator in the formula increases, resulting in a decrease in the measure of each exterior angle. Therefore, the correct answer is:
(2) decreases.