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
Each pair of interior-exterior angles are supplementary, that is, they add up to 180°
Which of course means, that the smallest interior angle will have the largest exterior angle.
so .....?
I hope you realize that there is a missing angle.
(hint)
To find the measure of the largest exterior angle of a polygon, you can use the formula:
Exterior angle = 360° / Number of sides
Since we are dealing with a hexagon (a polygon with 6 sides), the formula becomes:
Exterior angle = 360° / 6 = 60°
Therefore, the measure of the largest exterior angle is 60°.