Question

The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 75°, 160°, and 155°. What is the measure of the largest exterior angle? 100° 105° 95° 90°

Answer 1

The exterior angles are the supplements of the corresponding interior angles. The exterior angles for the given angles are ...
50°, 60°, 105°, 20°, 25°
The total of these is 260°, so the remaining exterior angle must be
360° - 260° = 100°

Of all the exterior angles, the largest is 105°.