Question

The exterior angle of a regular polygon measures 72°. The polygon has how many sides? A) 5 sides B) 6 sides C) 7 sides D) 8 sides

Answer 1

if the exterior angle of a regular polygon measures 72°

then, 360°/72°
=5

So, polygon have 5 sides.
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THANKS

Answer 2

each exterior angle = 72°

then

each interior angles of regular polygon

will be = 180 - 72 = 108°

let n be the number of sides

( n - 2) × 180/ n = 108°

180n - 360 = 108n

72n = 360

n = 5 sides

Answer: option (A) is correct