find the number of sides of a regular polygon if each of its interior angle is 108
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number of side of polygon 5
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hadee27:
thanks bro
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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.
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