The interior angles of a pentagon add up to 540 degrees (5 x 108) because it can be made from three triangles of 180 degrees.
The internal angle total for a polygon is given by the formula T = 180 * (n-2) where n is the number of sides.
(*External angles always sum to 360 degrees)
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In Geometry that are many different types of polygons. The polygon whose angles equal up to 180 degrees is a triangle.
Exterior angles of all polygons total 360 degrees.
Interior angles total ((2 x 7) - 4) right angles which is 900 degrees. Exterior angles total 360 degrees. This is true of all convex polygons.
A triangle in common with other polygons has a total sum of 360 degrees of exterior angles.
The angles of a parallelogram should add up to a total of 360 Degrees.