The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon

Question

contestada

Respuesta :

abidemiokin abidemiokin · Answer 1 · 2021-04-06T02:07:32+02:00

Answer:

n = 50

Step-by-step explanation:

The sum of interior angles of a regular polygon is 24 times the size of exterior angle. Find number of sides of the polygon

let the sum of exterior be e

Let the sum of interior be i

IF the sum of interior angles of a regular polygon is 24 times the size of exterior angle, then;

i = 24e

Also sum of exterior angle = 360/n

i + e = 180

24e + e = 180

25e = 180

e = 180/25

e = 7.2

since sum of exterior angle = 360/n

7.2 = 360/n

n = 360/7.2

n = 50

The number of sides is 50