Each exterior angle of a regular polygon is 9° Calculate the number of sides of the polygon

Question

asked Sep 4, 2021 26.4k views

2 Answers

Cristian Contrera · Answer 1 · 2021-09-05T14:38:24+0000

Answer:

Let the number of sides=x

As we know that in a polygon

${\boxed{\sf Sum\;of\:exterior\:angles=360°}}$

${:}\longrightarrow$
$\sf 9x=360$

${:}\longrightarrow$
$\sf x={\frac {360}{9}}$

${:}\longrightarrow$
$\sf x=40$

$\therefore$ Number of sides=40.

LauWM · Answer 2 · 2021-09-10T10:03:35+0000

Answer:

40

Explanation:

The sum of the exterior angles of a polygon = 360°

Divide this by the value of 1 exterior angle to find the number of sides n

n = 360 ÷ 9 = 40