Answer the following1) what is the sum of all interior angles of a regular hexagon? 2) what is the sum of all exterior angles in any regular polygon? 3) if an interior angle is 108° what is the name of the polygon? 4) using the answer from question 3 what is the sum of all interior angles of the polygon? 5) what us the size of an exterior angle in a regular quadrilateral?

To find the measure of the interior angles , we know that the sum of all  the angles is 720 degrees (from above)... and there are six angles so, the measure of the interion angle of a regular hexagon is 120 degrees. (A rule of polygons is that the sum of the exterior angles always equals 360 degrees, but lets prove this for a regular octagon (8-sides). ... Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45).

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