Math, asked by vijaypratapsaket, 1 day ago

In a regular polygon of n sides each interior angle is 5 times of exterior angle. find n.​

Answers

Answered by indraphartiyal
2

Answer:

this your answer

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Answered by shaileshmishra407
1

Answer:

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

Step-by-step explanation:

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