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

The exterior angles of any polygon add up to 360°. A regular pentagon has 5 equal exterior angles, so each measures 360° ÷ 5 = 72°. Since one exterior angle is 2x°, we have 2x = 72, so x = 36. The correct choice is x = 36.

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