Question

How many side does a regular palygon have of each of its interior angles is 165%​

Answer 1

Answer:

24 sides

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Answer 2

Since the measure of each interior angle is 165°, we have,

180°(n−2)/n = 165°

180°(n−2) = 165°n

180°n−360° = 165°n

180°n−165°n = 360°

15°n = 360°

n = 24

Hence, the regular polygon with interior angle each measuring 165 degrees is a 24-sided polygon.