Question

find the measure of each exterior angle of an regular polygon of 8 sides​

Answer 1

Answer:

Here is ur answer answer⤵️

Step-by-step explanation:

A regular octagon has eight equal sides and eight equal angles. (a) Calculate the size of each exterior angle in the regular octagon. We do this by dividing 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°..

Hope its help..⤴️

Answer 2

Given that, Sides of regular polygon is 8.

We have to find measures of each exterior triangle.

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To solve these type of questions, we need to know something about it :

Polygon is basically a 2-D closed figure which is made up of line segment. Here, we mentioned closed figure, so to make any closed figure by line segment, we required minimum 3 lines.

In question, Regular polygon is mentioned. Regular polygon is a type of polygon which all sides are of equal measure.

—» Sum of exterior angle of polygon is always equal to 360°

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In this question, we have given that regular polygon(all sides are of equal measure) is of 8 sides. We know that (mentioned above), sum of exterior angels of polygon is equal to 360°.

In order to find measures of side,

Formula :

• Measure of each exterior angle = $\frac{360}{n}$

Here, n is number of sides of polygon.

Put value in formula:

Measure of each exterior angle = $\frac{360}{8}$

→ Measure of each exterior angle = 45°

Therefore,

$\small{\boxed{\boxed{\pink{\tt{Measure~of~each~exterior~angles~of~polygon~is~45°}}}}}$