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# One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?

**Solution:**

It is given that one exterior angle of a regular pentagon has a measure of (2x)°.

As we know that the sum of all exterior angles of a regular polygon is 360°.

And also, all exterior angles of a regular polygon have the same measurement,

i.e. 360/n

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

We know that for a regular pentagon,

n = 5,

so, the measurement of one exterior angle of the regular polygon,

= 360/5

As per the question,

2x = 360/5

x = 360/10

x = 36

Therefore, the value of x is 36.

## One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?

**Summary:**

One exterior angle of a regular pentagon has a measure of (2x)°. The value of x is 36.

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