Find the sum of the measures of the interior angles of a convex 30-gon.
2 answers:
The sum of the interior angles of a polygon with N sides is (N-2) x 180 degrees.
For a 30-gon, the sum of interior angles is (28) x (180) = <u>5,040 degrees</u>.
It makes no difference whether or not the polygon is convex at every vertex.
There's an equation for that:
Sum of interior angles = 180(n - 2)
where n = number of sides
So if you have a polygon with 30 sides, the sum of the interior angles is:
180(30 - 2) = 180(28) = 5040 deg
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