Math, asked by Sakshe, 1 year ago

The sum of interior angles of a regular polygon is thrice the sum of its exterior angles Find the number of sides in the polygon

Answers

Answered by triptekade
50

(n - 2)180 = 3 \times 360 \\ (n - 2)180 = 1080 \\ (n - 2) = 6 \\ n = 6 + 2 \\ n = 8 \\ no.of \: sides = 8
Answered by SerenaBochenek
24

Answer:

Number of sides=8

Step-by-step explanation:

Given that the sum of interior angles of a regular polygon is thrice the sum of its exterior angles

As sum of exterior angle of regular polygon=360°

According to statement

(n-2)180 = 3(360)

180n-360=1080

180n=1440

n=\frac{1440}{180}=8

Hence, number of sides are 8

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