Question

A regular polygon has an interior angle of approximately 158.8°.

How many sides does this polygon have?

Answer 1

• 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