Question

5. Find the number of sides of a regular polygon if each of its interior angle is 108 degree​

Answer 1

Let there are 'n' sides of the regular polygon. Thus, the measure of the angle of the quad, are 36°, 12°, 108° and 144°. Thus, the required number of sides of the regular polygon is 5.

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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.

Know more :

• The major of an interior angle of a regular polygon each 108 degree find the sum of the interior angle of a regular polygon...

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• The interior angle of a regular polygon exceeds its external angle by 108 degrees, then the number of sides of the polygon...

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