Question

the interior angle of a regular polygon is 108 degree find the number of sides of the polygon

Answer 1

Hi friend!!

Given,

The interior angle of a regular polygon is 108 degrees.

So, the exterior angle will be 180-108=72.

So, the number of sides of the polygon is 360/72=5.

So, there are 5 sides in the polygon

Required polygon is a pentagon.

I hope this will help you ;)

Answer 2

Given :

Interior angle of a regular polygon is 108 degree.

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To find :

Find the number of sides of a regular polygon.

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Using formula :

★ Number of sides = 360/Exterior angle.

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We know that :

Exterior angle is not know to us so, let's find the exterior angle to find apply the above formula in the calculations.

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Finding the exterior angle :

→ Exterior angle = 180° - 108°

→ Exterior angle = 72°

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Calculations :

→ Number of sides = 360/72

→ Number of sides = 5

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Therefore, number of sides of the polygon is 5 sides.