Each of the interior angles of a regular polygon is 140°. Calculate the sum of…

Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon.

  • A.
    1080°
  • B.
    1260°
  • C.
    2160°
  • D.
    1800°
Correct Answer: Option B
Explanation

Since each interior angle = 140°;

Each exterior angle = 180° – 140° = 40°

Number of sides of the polygon = (frac{360°}{40°})

= 9 

Sum of angles in the polygon = 140° x 9

= 1260°

There is an explanation video available below.

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