What is the Sum of the interior angles for a pentagon?
900 degrees
540 degrees
720 degrees
108 degrees
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for an n-gon, it is (n-2)*180
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The sum of the interior angles of a polygon can be found using the formula: (n-2) * 180 degrees, where n represents the number of sides of the polygon.
For a pentagon, which has 5 sides, we can substitute n = 5 into the formula:
(5-2) * 180 degrees = 3 * 180 degrees = 540 degrees
So, the correct answer is 540 degrees.
to figure this out, all the way around the outside is 360 degrees
so the right turn outside at each corner is 360/n
so each inside angle is 180 - (360/n)
= 180 n - 360) / n
so the sum is
180n -360 = 180 (n-2)