Question

Find the sides of a regular polygon, whose external angle is 45°
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Answer 1

Answer:

8

Explanation:

Let n be the number of sides of the polygon.

The sum of the exterior angles of a regular polygon = 360 ∘

=45 ∘ × n

=  360 ∘  [Since the measure of each exterior angle is  45 ∘ ]

=  360 /45  [Simplify]

n  =  8  [Simplify]                      

Therefore, the number of sides of a regular polygon whose each exterior angle has a measure of  45 ∘  is 8.