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. - Mathematics
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.
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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