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Through which angle measures can a regular hexagon be rotated so that it maps onto itself?

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Through which angle measures can a regular hexagon be rotated so that it maps onto-example-1
User Amin Eshaq
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7.3k points

1 Answer

5 votes

Answer:

60,240,300

Explanation:

Each subsequent rotation by 60° also maps a hexagon onto itself. There are 5 such rotations: by 60°, 120°, 180°, 240° and 300° (the next is 360° which isn't allowed by the conditions). So the answer is 5.

User Carren
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7.9k points