In a regular polygon of n sides each interior angle is 5 times of exterior angle. find n.
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Hey mate here is your answer Given the measure of each interior angle of a regular polygon is five times the measure of its exterior angle.
Each interior angle of a regular polygon =
n
180
o
(n−2)
where n = number of sides of polygon
Each exterior angle of a regular polygon =
n
360
o
According to question,
n
180
o
(n−2)
=5×
n
360
o
=>n−2=10
=>n=12
Number of sides of the polygon =12
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