Question

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

8

10

4

6

​

Answer 1

Step-by-step explanation:

We know that sum of exterior angle of a regular polygon = 360°

let No. of sides of polygon is (n)

so

$45 + 45 + 45.........(n )\: times = 360 \\ 45 \times n = 360 \\ n = \frac{360}{45 } \\ n = 8$

Hence no. of sides = 8