Find the measure on ONE EXTERIOR angle of a regular PENTAGON.

Answer 1

72 degrees.

Quick way: The sum of the angles of a polygon is 360. Since i is regular, all sides and angles are equal. So 360/5 = 72

Or, using the formula for the sum of interior angles, 180 (n - 2) , where n = 5, gives 540 degrees. The pentagon is regular, so 540/5 gives 108 for each interior angle. The exterior and interior angles are supplementary, so the exterior angle = 180 - 108 = 72.