Question

question
the exterior angle of a regular polygon measures 1°. how many sides does the polygon have?
answer attempt 1 out of 3
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Explanation:

Step1: Recall the formula for the measure of an exterior angle of a regular polygon

The formula for the measure of an exterior angle of a regular polygon is \( \text{Exterior angle}=\frac{360^{\circ}}{n}\), where \(n\) is the number of sides of the polygon.

Step2: Solve for \(n\)

Given that the exterior angle is \(1^{\circ}\), we set up the equation \(1=\frac{360}{n}\).
Cross - multiplying gives us \(n = 360\).

Answer:

\(360\)