Answer:
160.00° Degrees
Explanation:
To find the answer, we have to use the interior angle formula which is
(n-2)*180, where n is the number of sides. This formula gives us the sum of all interior angles in a polygon having ‘n’ sides.
For a polygon with 18 equal sides, first finding the sum of all interior angles of the polygon:-
=(n-2)*180= (18–2)*180=16*180=2880 degree.
We found the sum of all interior angles of 18 sided polygon and it is 2880 degrees.
The polygon we are considering has all sides equal, which means it is a regular polygon. So we can conclude that all of its interior angles are equal.
Sum of all eighteen angles=2880, One angle=2880/18=160 degrees.
Thus, we concluded that the interior angle of the regular eighteen sided polygon
is 160 degrees