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: 1260°
Explanation
Since each interior angle = 140°;
Each exterior angle = 180° - 140° = 40°
Number of sides of the polygon = 360°/40°
= 9
Sum of angles in the polygon = 140° x 9
= 1260°
Since each interior angle = 140°;
Each exterior angle = 180° - 140° = 40°
Number of sides of the polygon = 360°/40°
= 9
Sum of angles in the polygon = 140° x 9
= 1260°