Question

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

Answer 1

Answer:

Required Answer :-

Let the number of sides=x

• Each angle measures 9°

As we know that in a polygon

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

• Substitute the values

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

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

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

$\therefore$Number of sides=40.

Answer 2

Answer:

40

Step-by-step 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