Remember that the three interior angles of a triangle have a sum of 180 degrees.

Pentagon Angles The word polygon comes from a Greek word meaning many angles.

When we use this in the formula, we have: Â° Â° Â° Â° Now, if we consider a hexagon, which has six sides, we have: Â° Â° Â° Â° The following is a table with the sum of the interior angles of the most common polygons: Polygon Number of sides Sum of angles Triangle 3 180Â° Quadrilateral 4 360Â° Pentagon 5 540Â° Hexagon 6 720Â° Heptagon 7 900Â° Octagon 8 1080Â° Nonagon 9 1260Â° Decagon 10 1440Â° Internal angles of a regular polygon We can determine the measure of each of the interior angles of a regular polygon starting from the sum of all the interior angles.

A regular pentagon has five equal sides and five equal interior angles.

We know that a regular polygon has all its sides with the same length and all its angles with the same measure.

To put it another way, a polygon is a two-dimensional closed shape with at least three straight sides and three angles.

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