Answer:
The measure of largest exterior angle is 105°
Step-by-step explanation:
We know that, the sum of all interior angles of a hexagon is 720°.
Given,
The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 80°, 160°, and 155°.
Let x be the sixth interior angle.
⇒ 130° + 120° + 80° + 160° + 155° + x = 720°
⇒ x + 645° = 720°
⇒ x = 75°
Since, an exterior angle which is a linear pair of smallest interior angle must be largest.
Here, the smallest angle is 75°.
Thus, the largest exterior angle = 180° - 75° = 105°
