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
