The sum of the measures of the exterior angles of a quadrilateral is equal to 360°. This means that the total angle measure around the entire shape is the same...
The sum of the measures of the exterior angles of a quadrilateral is equal to 360°. This means that the total angle measure around the entire shape is the same as the sum of the individual angles inside the shape.
For example, consider a quadrilateral with angles measuring 40°, 50°, and 70°. The sum of these angles would be 160°, which is equal to the sum of the exterior angles of the entire shape.
Another way to visualize this concept is to think of a quadrilateral as a group of four overlapping circles. The angles inside the circles add up to 360°, and the angles outside the circles also add up to 360°. Therefore, the total angle measure of the entire shape is 360°.
The sum of the exterior angles of a quadrilateral can also be found by using the formula:
Sum of exterior angles = 180° x (n - 2)
Where n is the number of angles in the quadrilateral.
For example, if a quadrilateral has 4 angles, the sum of its exterior angles would be 180° x (4 - 2) = 180°