The sum of the angles of a polygon is 5220°.How many sides does the polygon have?
Answers
Answer: The relationship between sides and the sum of angles is ...
sum of angles = (sides - 2)·180°
Filling in the given value and solving for "sides", we get ...
5220 = (sides -2)180
29 = sides -2 . . . . . . . . . divide by 180
31 = sides . . . . . . . . . . . . add 2
The polygon has 31 sides.
Step-by-step explanation:
Answer:
Given = The sum of interior angles of a polygon = 5220°
To find = The number of sides of the polygon
Solution: The formula which is to be used-
Sum of interior angles = (n-2) x 180
Where, n = the number of sides
Inserting the values,
5220 = (n - 2) x 180
∴ 5220 ÷ 180 = (n-2)
∴ 29 = (n-2)
= 29-2 = n
∴ 27 = n
The number of sides of the polygon = 27
Step-by-step explanation:
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