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4 years ago

12

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

1 answer:

USPshnik [31]4 years ago

3 0

Answer:

x = 36°

Step-by-step explanation:

The sum of the exterior angles of a pentagon is always 360°. Since the pentagon is regular, meaning that all of its sides and interior angles are congruent, we know that all of the exterior angles are also congruent. Since a pentagon has 5 sides, we know that there are 5 congruent exterior angles, therefore:

5 * 2x = 360

10x = 360

x = 36°

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