Respuesta :

carlosego

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:

[tex] 2x = 72
[/tex]

From here, we clear the value of x.

We have then:

[tex] x = \frac{72}{2}

x = 36
[/tex]

Answer:

the value of x is:

D x=36

Answer: 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 [tex]\frac{360}{n}[/tex].

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 = [tex]\frac{360}{5}[/tex]

According to the question,

[tex]2x=\frac{360}{5}[/tex]

[tex]x=\frac{360}{10}[/tex]

[tex]x = 36[/tex]

⇒ Option D is correct.

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