Question

the exterior angle of a regular polygon is one fifth of its interior angle how many sides does the polygon have answer plz

Answer 1

Answer:

one polygon have 4 sides

Answer 2

Answer:

12

Step-by-step explanation:

let the interior angle be Y

exterior angle will be

(180- Y)

(180 - Y ) = 1Y/5

900-5Y = Y

900= Y + 5Y

900= 6Y

Y = 900/6

Y= 150

each interior angle is 150°

the number of sides are

{ n - 2 ) * 180} /n = 150

( n - 2 ) * 180 = 150n

n-2 = 150n / 180

n-2 = 5n/6

6(n - 2)= 5n

6n - 5n = 12

n = 12

number of sides= 12