find the sum of the measures of the interior angles of an octagon
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To find the sum of the measures of the interior angles of an octagon, we need to use the formula for the sum of angles in a polygon.
The formula for the sum of the interior angles of an n-sided polygon is given by:
Sum of interior angles = (n - 2) * 180
In this case, we have an octagon, which is an 8-sided polygon. Therefore, we can substitute n = 8 into the formula:
Sum of interior angles = (8 - 2) * 180
= 6 * 180
= 1080
So, the sum of the measures of the interior angles of an octagon is 1080 degrees.