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Each of the interior angles of a regular polygo... - JAMB Mathematics 2019 Question

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 option: b

Given that each interior angle = 140°, 

each exterior angle = 180° - 140° = 40°

Number of sides of the polygon = \(\frac{360°}{40°}\) = 9 

Sum of the angles in the polygon = 140° x 9

= 1260°

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