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What is the measure, in degrees, of one interior angle of a regular pentagon?
A. 108
B. 144
C. 180
D. 72
E. 120
Correct Answer: A
Explanation/Reference:
Explanation:
The formula for the sum of the interior angles of any regular polygon is as follows:
= 180 (n – 2) where n is equal to the number of sides of the regular polygon.
Therefore, the sum of the interior angles for a regular pentagon is:
= 180 (5 – 2) = 180 (3) = 540 To find the measure of one interior angle of a regular pentagon, simply divide by the number of sides (or number of interior angles):
= 108
The measure of one interior angle of a regular pentagon is 108 degrees.
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