How Do You Find the Measures of Exterior Angles of a Polygon if You Know the Interior Angles?

Interior angles are the angles inside the polygon
Exterior angles are angles that are formed outside the polygon when the sides are extended
If you add up all the exterior angles of any polygon, it will always equal 360°
Angles that add to 180° are also called supplementary angles

1. Exterior angles are angles that are formed outside the polygon when the sides are extended
2. Each exterior angle is adjacent, or next to, one of the interior angles
1. Each exterior angle and the interior angle it is adjacent to add up to form a straight angle
2. Since straight angles measure 180°, we can add each pair of angles and set them equal to 180°
3. This will give us equations we can solve for the exterior angles
1. Remember, the sum of the exterior angles of a polygon is always 360°
2. So if our answers are correct, they should all add to 360°
1. Remember, the sum of the exterior angles of a polygon is always 360°
2. So if our answers are correct, they should all add to 360°

Find the measures of the exterior angles in this polygon: