Question

how many sides does a regular polygon have if each of its interior angles is 165?
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Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

Answer:

The measure of each interior angle is 165°

So, measure of each exterior angle = 180°-165° = 15°

Regular polygon has all exterior angles equal.

Let number of sides of polygon = n

Sum of Exterior angles of a polygon = 360°

    (n) * 15° = 360°

              n = 24

Hence, regular polygon having each of its interior angles is 165° has 24 sides.

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