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Sum

The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.

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#### Solution

Sum of interior angles = 3 x Sum of exterior angles

Let exterior angle = x

The interior angle = 3x

x + 3x=180°

⇒ 4x = 180°

⇒ x = `180/4`

⇒ x = 45°

Number of sides = `360/45 = 8`

Concept: Regular Polynomial

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