What is the measure of each exterior angle of a regular pentagon?Choices:- 36 degrees 72 degrees 108 degrees 144 degrees
Question
What is the measure of each exterior angle of a regular pentagon?Choices:- 36 degrees 72 degrees 108 degrees 144 degrees
Solution
The measure of each exterior angle of a regular polygon can be calculated using the formula 360/n, where n is the number of sides of the polygon.
Step 1: Identify the number of sides. A pentagon has 5 sides.
Step 2: Substitute the number of sides into the formula. So, 360/5 = 72.
Therefore, each exterior angle of a regular pentagon measures 72 degrees. So, the correct choice is 72 degrees.
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