Question

question
the exterior angle of a regular polygon measures 1°. how many sides does the polygon have?
answer attempt 1 out of 2
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Explanation:

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

The sum of exterior angles of any polygon is \(360^{\circ}\). For a regular polygon with \(n\) sides, each exterior angle \(\theta=\frac{360^{\circ}}{n}\).

Step2: Solve for \(n\)

Given \(\theta = 1^{\circ}\), we substitute into the formula \(n=\frac{360^{\circ}}{\theta}\). So \(n=\frac{360}{1}=360\).

Answer:

\(360\)