A regular polygon has n sides Each exterior angle is 5n/2 degrees find the value of n.
2 answers:
Answer:
12
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Since there are n sides and each exterior angle = , then
n × = 360 ( multiply both sides by 2 to clear the fraction )
5n² = 720 ( divide both sides by 5 )
n² = 144 ( take the square root of both sides )
n = = 12
The polygon has 12 sides
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