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1.How many sides does a regular polygon have if the measure of an exterior
angle is 24°?
Solution:
Sum of exterior angle of polygon=360
Each exterior angle of polygon =2
=> Number of sides of polygon with each angle of 24 is 15.
Answer:15 sides
2. Determine the number of sides in a polygon if the
sum of the interior angles are 1620 degrees.
Solution:
(n - 2) x 180 = 1620°
n - 2 = 1620/180 = 9
n = 9 + 2 = 11
Answer: 11 sides
3. Find the sum of the interior angles of nonagon.
Solution:
S= (n-2)(180)
S=(9-2)(180)
S=(7)(180)
S= 1260°
Answer: 1260°