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

Question

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

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Kim Cúc 4 years 2021-07-27T10:09:15+00:00 1 Answers 13 views 0

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  1. giabao
    0
    2021-07-27T10:10:36+00:00
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    Answer:

    • 17 sides

    Step-by-step 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

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