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The sum of the interior angles of a regular polygon is 1260°. What is the difference between an exterior angle and an interior angle of the polygon?

The sum of the interior angles of a regular polygon is 1260°. What is the difference between an exterior angle and an interior angle of the polygon? Correct Answer 100°

As we know,

If n = total number of sides of a regular polygon, then

Sum of interior angles of the polygon =

= 1260

⇒ (n – 2) = 1260/180

⇒ (n – 2) = 7

⇒ n = 7 + 2 = 9

As we know,

Each interior angles of the polygon = 1260/9 = 140°

Each exterior angles of the polygon = 180 – 140 = 40°

Required difference = 140° - 40° = 100°

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