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3 years ago

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

Mathematics

2 answers:

tamaranim1 [39]3 years ago

6 0

Answer:

<h3>Required Answer :-</h3>

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.

nignag [31]3 years ago

5 0

Answer:

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

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

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