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A regular polygon has an interior angle of approximately 158.8°. How many sides does this polygon have?
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A regular polygon has an interior angle of approximately 158.8°.

How many sides does this polygon have?

User Playful
by
6.1k points

1 Answer

5 votes

Answer:

  • 17 sides

Explanation:

Property of regular polygons:

  • Sum of Interior Angles = (n−2) × 180°, where n is number of sides

In our case we have:

  • 158.8×n = (n - 2)×180
  • 180n - 158.8n = 360
  • 21.2n = 360
  • n = 360/21.2
  • n = 17
User Noah Passalacqua
by
5.6k points
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