Answer:
Step-by-step explanation:
Sum of angle in polygon =
(n - 2)180
540 = (n - 2)180
Dividing by 180
n - 2 = 3
n = 3 + 2
n = 5
The number of interior sides of this polygon is 5.
Data;
This is given as
[tex]S = (n-2) * 180[/tex]
s = 540
substitute the values and solve for n
[tex]540 = (n-2) * 180\\540 = 180n - 360\\540 + 360 = 180n\\900 = 180n\\n = 900/180\\n = 5[/tex]
From the calculations above, the number of interior sides in this polygon is equal to 5
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