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# Calculate the Number of Sides of a Regular Polygon, If: Its Interior Angle is Five Times Its Exterior Angle. - Mathematics

Sum

Calculate the number of sides of a regular polygon, if:  its interior angle is five times its exterior angle.

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#### Solution

Let number of sides of a regular polygon = n

Let exterior angle = x

Then interior angle = 5x

x + 5x = 180°

⇒ 6x = 180°

⇒ x = 180^circ/6 = 30^circ

∴ Number of sides (n) = (360°)/30 = 12

Concept: Regular Polynomial
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 19.1 | Page 184
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