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What is the sum of the measures of the interior angles of an octagon?
Solution:
The angles that lie inside a shape (generally a polygon) are said to be interior angles and an octagon is defined as a polygon with 8 sides.
The formula to find the sum of the measures of the interior angles of a polygon is (n - 2) × 180º where n is the number of sides.
Sum of the measures of the interior angles of an octagon = (n - 2) × 180º
= (8 - 2) × 180º
= 6 × 180º
= 1080º
Therefore, the sum of the measures of the interior angles of an octagon is 1080º.
What is the sum of the measures of the interior angles of an octagon?
Summary:
The sum of the measures of the interior angles of an octagon is 1080º.
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