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 × 45o = 360o
n = 360o/45o
n = 8