Answer:
The answer is 105°.
Step-by-step explanation:
The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 80°, 160°, and 155°.
Sum of all the six interior angles of a hexagon is 720°
The sum of 5 interior angles is = [tex]130+120+80+160+155=645[/tex] degrees
The missing 6th angle is = [tex]720-645=75[/tex] degrees
So the smallest interior angle of hexagon is 75 degrees.
Simultaneously, the largest exterior angle will be = [tex]180-75=105[/tex] degrees
Therefore, the answer is 105°.