Question

please solve the above question​

Answer 1

Answer:

8

Step-by-step explanation:

angle (interior) of a polygon (n side)

is

θ=(

n

n−2

)180

∘

∴ exterior angle =180

∘

−θ

Given

θ

180

∘

−θ

=

3

1

⇒

(

n

n−2

)180

[1−(

n

n−2

)]180

∘

=

3

1

⇒

n−2

2

=

3

1

⇒

n=8

solution

Answer 2

Step-by-step explanation:

a line has 180 degree angle and one third of it is equal to 180 divided by 3 which is equals to 60 degree. so the exterior angle is 60 degree and if we have to find the number of sides then we have to divide 360 from 60 which is equal to 6. and if we have to find interior angle then we are supposed to divide the number of sides from 360 and then we will get exterior angle and then we can subtract exterior angle from 180 degree to get interior angle

formula

360- number of sides= one exterior angle

360-exterior angle= number of sides