Question

which of the following is the measure of the sixth exterior anglea. 32b. 60c. 180d. 360

Answer 1

We have here a convex hexagon, and we have that the sum of the exterior angles of a polygon is always equal to 360 degrees. Then, we have:

$80+68+84+56+40+x=360$

Then, we have:

$328+x=360\Rightarrow x=360-328\Rightarrow x=32$

Therefore, the value for the sixth exterior angle is equal to 32 (option a).