Question

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

Answer 1

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:

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From here, we clear the value of x.

We have then:

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Answer:

the value of x is:

D x=36

Answer 2

Answer: D. x = 36

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
`(360)/(n)`.

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 =
`(360)/(5)`

According to the question,

`2x=(360)/(5)`

`x=(360)/(10)`

`x = 36`

⇒ Option D is correct.