The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 80°, 160°, and 155°. What is the measure of the largest exterior angle?

100°
105°
95°
90

To find the measure of the largest exterior angle of a polygon, we can use the formula:

Measure of an exterior angle = 360° / Number of sides

In this case, the polygon is a hexagon, so it has 6 sides. Therefore, the measure of each exterior angle of the hexagon is:

Measure of an exterior angle = 360° / 6 = 60°

Since the measure of an exterior angle is always supplementary to the measure of the corresponding interior angle, we can find the largest exterior angle by subtracting the measure of the largest interior angle from 180°.

The largest interior angle of the hexagon is 160°. So, the largest exterior angle is:

Largest exterior angle = 180° - 160° = 20°

Therefore, the measure of the largest exterior angle is 20°.