One exterior angle of a regular pentagon has a measure of (2x)°. what is the value of x?
a x=18
b x=20
c x=30
d x=36

D. x = 36

Step-by-step explanation:

Since, the sum of all exterior angle of a regular polygon is 360°. Also, all exterior angles of a regular polygon have the same measurement, Which is .

Where n is the number of sides of the regular polygon,

For a regular pentagon,

n = 5,

Thus, the measurement of one exterior angle of the regular polygon =

According to the question,

⇒ Option D is correct.

The first thing you should know for this case is that the outer angles of a regular pentagon are equal to 72 degrees.

Therefore, we have the following equation:

From here, we clear the value of x.

We have then:

the value of x is:

D x=36

it would open into a square depending on the type of envelope i’m not sure about the second part