Question

5. Find the number of sides of a regular
polygon if each interior angle is
a) 144°
b) 160°
c) 156°
d) 120°​

Answer 1

(1)10 sides, (2)18 sides, (3)15 sides, (4)6 sides

Step-by-step explanation:

(1) let polygon side be =n

(n-2)*180/n=144

180n-144n=360

n=10 sides

(2) (n-2)*180/n=160

n=18 sides

(3) (n-2)*180/n=156

n=15 sides

(4) (n-2)180/n=120

n=6 sides