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What is the size of an exterior angle of a regular pentagon?

What is the size of an exterior angle of a regular pentagon?

  • A.
    36o
  • B.
    60o
  • C.
    72o
  • D.
    120o
  • E.
    360o
Correct Answer: Option C
Explanation

Pentagon is a polygon with 5 sides. Sum of interior angles of polygon (regular) = (2n – 4) x 90o
= 5
= (10 – 4) x 90o
= 540o
each interior angle = (frac{540}{5})
= 108o
= 180o let x represent ext. angle
x + 108o = 180v
x = 180o – 108o
= 72o