Question

Select the correct answer from the drop-down menu. Polygon ABCDE is a regular polygon. What is the sum of an interior angle and an exterior angle in polygon ABCDE? The sum of an interior and an exterior angle is A 360 B 180 C 540​

Answer 1

The sum of an interior and an exterior angle in a polygon is B 180 degrees. This is because the interior and exterior angles at each vertex of any polygon, regular or not, always add up to 180 degrees. This is a fundamental property of polygons in Euclidean geometry. So, for polygon ABCDE, regardless of whether it’s regular or not, the sum of an interior angle and an exterior angle at any vertex will be 180 degrees.

Answer 2

B) 180

Explanation:

The sum of an interior and an exterior angle in any polygon is always 180 degrees. This is because the interior and exterior angles of a triangle add up to 180 degrees, and any polygon can be divided into triangles.

Therefore, the answer is B) 180.

Note:

This is true for all polygons, regardless of their number of sides.