Question

One exterior angle of a regular pentagon has a measure of (2x)”. What is the value of x?
O x = 18
O x = 20
O x= 30
O x= 36

Answer 1

Answer:

x = 36°

Step-by-step explanation:

The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:

5 * 2x = 360

10x = 360

x = 36°