Attempt following question by selecting a choice to answer.
c
The difference between the interior and the exterior angle of a regular polygon is
120o. How many sides does the polygon have?
c cA.
c10
B.
c12
C.
c16
D.
c14
c
B
Step 1: Let n be the number of sides of the regular polygon.
Step 2: Interior angle of the regular polygon = (n - 2) x 180o/n
Step 3: Exterior angle of the regular polygon = 360o/n
Step 4: [(n - 2) x 180o/n] - [360o/n] = 120o
Step 5: 180 - 360/n - 360/n = 120
Step 6: 180 - 120 = 360/n + 360/n
Step 7: 60 = 720/n
Step 8: n = 72060
Step 9: n = 12
Step 10: The number of sides of the polygon is 12.