The sum of angles in a triangle is 180°. Since a quadrilateral is made up of two triangles the sum of its angles would be 180° × 2 = 360°. The sum of interior angles in a quadrilateral is 360º. A pentagon (five-sided polygon) can be divided into three triangles. The sum of its angles will be 180° × 3 = 540°. Polygons that have the same shape but a different size are called similar polygons. Polygons are similar if the corresponding angles are equal, and the corresponding sides have the same ratio. The ratio of the lengths of the corresponding sides is called the scale factor. The scale factor for congruent figures is 1.

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    Aug 13, 2013 · Imagine you are following the perimeter of the polygon. An interior angle of 140 means that you are turning (180 - 140) = 40 degrees. To complete the perimeter (a polygon is a closed figure) and come back onto your starting segment, you have to turn a total of 360 degrees. "regular" = all angles have the same value (here, it is 40 degrees)

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    the perimeter of the polygon is the shortest path that encloses the entire shape. the largest interior angle is adjacent to the longest side. none of the lines that contain the sides of the polygon pass through its interior. every interior angle is less than 180°. the polygon is not concave.

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