Question

The number of sides of a regular polygon whose each interior angle is of 135° is

(a) 6 (b) 7 (c) 8 (d) 9

Answer 1

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 360^o.

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

Then,

n = 360^o/Exterior angle

n = 360^o/(180^o – 135^o)

n = 360^o/45^o

n = 8