Question

If an exterior angle measure of a regular polygon is 60°, how many sides does the polygon have? What is the measure of each interior angle?​

Answer 1

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Answer:

• 6 sides
• 120°

Explanation:

The sum of the measures of the exterior angles of a convex polygon is always 360°. If each is 60°, there are 360°/60° = 6 of them.

There are 6 sides.

The adjacent interior angle is the supplement of the exterior angle, so is ...

180° -60° = 120°.

Each interior angle measures 120°.