The angle created by a hinged mirror when forming a regular polygon is called a central angle. For example,
ABC in the diagram at right is the central angle of the regular hexagon. Homework Help ✎
If the central angle of a regular polygon measures 18°, how many sides does the polygon have?
Can a central angle measure 90°? 180°? 13°? For each angle measure, explain how you know.
Try drawing shapes that could have the central angle measurements that have been listed.