Question

question 5
1 pts
the measure of each exterior angle of a regular n - gon is 45°. determine the value of n.
n =

Explanation:

Step1: Recall exterior angle sum of polygon

The sum of exterior angles of any polygon is \(360^\circ\). For a regular \(n\)-gon, each exterior angle is equal.

Step2: Set up equation for regular \(n\)-gon

Let each exterior angle be \(45^\circ\). Then, the number of sides \(n\) can be found by dividing the total sum of exterior angles (\(360^\circ\)) by the measure of one exterior angle. So, \(n=\frac{360^\circ}{45^\circ}\).

Step3: Calculate \(n\)

Simplify \(\frac{360}{45}=8\).

Answer:

\(8\)