Five of the six exterior angle measures of a nonregular hexagon measure 55°, 60°, 69°, 57°, and 57°. What is the measure of the interior angle adjacent to the sixth exterior angle?
a.
128°
b.
118°
c.
62°
d.
108°

Question

Five of the six exterior angle measures of a nonregular hexagon measure 55°, 60°, 69°, 57°, and 57°. What is the measure of the interior angle adjacent to the sixth exterior angle?
a.
128°
b.
118°
c.
62°
d.
108°

mathstudent55 · Answer

You need to know the sum of the measures of the exterior angles of a polygon, one angle per vertex. That sum is 360 deg.

anonymous · Answer

okay then ?

mathstudent55 · Answer

The sum of the measures of all the exterior angles is 360.
You have 5 measures, so add them up and subtract the sum from 360.
That gives you the sixth exterior angle.

mathstudent55 · Answer

That is not your final answer yet because the problem wants the measure of the sixth interior angle.

anonymous · Answer

62
 im i right

anonymous · Answer

attachment

mathstudent55 · Answer

Yes.
That is the measure of the 6th exterior angle.
Now you need the measure of the 6th interior angle.

anonymous · Answer

Find the sum of the measures of the interior angles of the figure.

a.
1,080°
b.
900°
c.
1,620°
d.
1,260°

anonymous · Answer

can you help me with this one

mathstudent55 · Answer

|dw:1431374222145:dw|

mathstudent55 · Answer

Wait.
First, we're not done with the first problem.
Second, if you need help with another problem, then start a new post for it.
The rule is one problem per post.
I'll help you with your new problem in a new post, but let's finish the first problem first.

mathstudent55 · Answer

Look at my figure above.
What is the relationship between an interior and an exterior angle at the same vertex of a polygon?

anonymous · Answer

i dont really know