Final answer:
The question pertains to finding the measure of one interior angle and the sum of exterior angles for polygons. One interior angle is calculated by dividing the sum of interior angles by the number of sides, and the sum of exterior angles is always 360 degrees.
Step-by-step explanation:
The subject of the question is Mathematics, specifically geometry involving interior and exterior angles of polygons. To determine the measure of one interior angle for a polygon, we can use the formula for the sum of interior angles which is (n-2) × 180°, where 'n' is the number of sides in the polygon. Then, to find one interior angle, we divide this sum by the number of sides (n).
For the exterior angles of any polygon, the sum is always 360 degrees regardless of the number of sides. This is because each exterior angle forms a linear pair with an interior angle, adding up to 180 degrees, and the polygon's exterior angles together complete a full rotation around the polygon. Therefore, to find the measure of one exterior angle, we divide 360 degrees by the number of sides (n).