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atroni [7]
3 years ago
14

Find the sum of the measures of the interior angles of a convex 30-gon.

Mathematics
2 answers:
Kisachek [45]3 years ago
7 0
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.
skad [1K]3 years ago
4 0
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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