Polygon Interior Angles Sum Theorem
Polygon Interior Angles Sum Theorem
The sum of the measures of the interior angles of a convex polygon with n sides is
Example :
Find the sum of the measures of the interior angles of an octagon.
Solution:
An octagon has 8 sides. So, n = 8.
Substitute 8 for n in the formula.
The sum of the measures of the interior angles of an octagon = (8 - 2)180°.
= 6 ×180°
= 1080°
The sum of the measures of the interior angles of an octagon is 1080°.
