Question

12. How does the sum of the exterior angles of a square compare to the sum of the exterior angles of a pentagon?

A The sum of the exterior angles of a square is greater.
B The sum of the exterior angles of a pentagon is greater.
C The two sums are equal.
D There is not enough information to compare the two sums.

Answer 1

Option C.

The two sums are equal.

Explanation:

In geometry, the sum of the exterior angles of any polygon will always give 360 degrees. This is regardless of the type of polygon, whether it is a triangle, quadrilateral, pentagon, or a decagon.

This means that the sum of the exterior angles of a square is equal to that of the pentagon.

As the number of sides that they have increases, the sizes of their internal angles get smaller, making the sum of their external angles remain at 360 degrees