The number of sides of a regular polygon
Question:

The number of sides of a regular polygon where each exterior angle has a measure of 45o is

(a) 8

(b) 10

(c) 4

(d) 6

Solution:

(a) 8

Now let us assume number of sides of a regular polygon be n.

WKT, sum of all exterior angles of all polygons is equal to 360o.

Form the question it is given that each exterior angle has a measure of 45o.

Then,

n × 45= 360o

n = 360o/45o

n = 8

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