why when we add more side, the sum of the angles go up by 180 degrees

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The sum of the angles of a triangle is 180

For a square it’s 360

For a pentagon it’s 540

For a hexagon it’s 720

Why is that?

In: Mathematics

9 Answers

Anonymous 0 Comments

Take the polygon in question, pick one point and draw lines out to each other point.

You now have a bunch of triangles.

Square is made of 2 triangles, pentagon is 3, hexagon is 4 etc.

When you add a side to a polygon you add a triangle.

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