The sides of a pentagon are produced in order. Which of the following ...
Each polygon have 360• as it's exterior angel but it's Interior angle is depend on it's sides, so the answer is D
The sides of a pentagon are produced in order. Which of the following ...
Degrees
b)720 degrees
c)900 degrees
d)1080 degrees
e)1260 degrees
The sum of the exterior angles of any polygon is always 360 degrees. If we extend the sides of the pentagon in order, we will create five exterior angles. Therefore, the sum of the exterior angles of the pentagon is:
5 x 360 degrees = 1800 degrees
However, we only want the sum of the exterior angles that were produced by extending the sides of the pentagon. Each exterior angle produced by extending a side of the pentagon is equal in measure to the interior angle opposite it. The sum of the interior angles of a pentagon is:
(5-2) x 180 degrees = 540 degrees
Therefore, the sum of the exterior angles produced by extending the sides of the pentagon is:
1800 degrees - 540 degrees = 1260 degrees
So the answer is e)1260 degrees.