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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

User ColdCold
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2 Answers

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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:


image

From here, we clear the value of x.

We have then:


image

Answer:

the value of x is:

D x=36

User FallenAvatar
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2 votes

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.

User DarkSkull
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