Question

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?

Answer 1

The answer is 105°.

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 =
`130+120+80+160+155=645` degrees

The missing 6th angle is =
`720-645=75` degrees

So the smallest interior angle of hexagon is 75 degrees.

Simultaneously, the largest exterior angle will be =
`180-75=105` degrees

Therefore, the answer is 105°.