Question

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

Answer 1

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

Answer 2

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