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Investigation 5.1 - Polygon Sum Conjecture

Triangle (3) - Quadrilateral (4)

The interior angles of a triangle sum up to 180 degrees. The interior angles of a quadrilateral sum up to 360 degrees.

Pentagon (5) - Hexagon (6)

The interior angles of a pentagon sum up to 540 degrees. The interior angles of a hexagon sum up to 720 degrees.

Heptagon (7) - Octagon (8)

The interior angles of a heptagon sum up to 899.99 or 900 degrees. The interior angles of an octagon sum up to 1080 degrees.

STEP 5- Pentago (5)

In the pentagon the diagonal create 3 triangles, all equal to 180. As to show  will give you the total measurements of all the interior angles summed up in a pentagon.