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07-12-2020
Mathematics

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

Respuesta :

mhanifa mhanifa

16-12-2020

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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