In a geometry class, Brian is asked to draw a concave hexagon. He draws a closed figure with six sides. The sides are not equal in length. The greatest interior angle measure is 150°, and the least interior angle measure is 85°.

Which statement about the figure Brian drew is true?
He draws a correct figure because it is a regular polygon.
He draws an incorrect figure because no interior angle measures more than a straight angle.
He draws an incorrect figure because the sides are not equal in length.
He draws a correct figure because one interior angle measures more than a straight

Question

In a geometry class, Brian is asked to draw a concave hexagon. He draws a closed figure with six sides. The sides are not equal in length.  The greatest interior angle measure is 150°, and the least interior angle measure is 85°.  
 
Which statement about the figure Brian drew is true?
He draws a correct figure because it is a regular polygon.
He draws an incorrect figure because no interior angle measures more than a straight angle.
 He draws an incorrect figure because the sides are not equal in length.
He draws a correct figure because one interior angle measures more than a straight

jim_thompson5910 · Answer

any ideas?

anonymous · Answer

none

jim_thompson5910 · Answer

when a polygon is convex, all of the interior angles are less than 180 degrees (ie less than a straight angle)

jim_thompson5910 · Answer

when a polygon is concave, at least one interior angle is greater than 180 degrees (ie greater than a straight angle)

jim_thompson5910 · Answer

so using these facts, did Brian draw a concave polygon?

anonymous · Answer

My god, do your own work. This looks like a school quesiton.

jim_thompson5910 · Answer

people are allowed to ask questions

jim_thompson5910 · Answer

but yes, this isn't the place to have others do your work (and you do none of it), but I'm sure you know that already

anonymous · Answer

i know that i just needed a little extra help

jim_thompson5910 · Answer

so going back to my question, did Brian draw a concave polygon?

anonymous · Answer

no

jim_thompson5910 · Answer

why not

anonymous · Answer

i really cant tell the diffrence between the two without a diagram

jim_thompson5910 · Answer

no need for a diagram really

jim_thompson5910 · Answer

the largest angle is what

anonymous · Answer

150

jim_thompson5910 · Answer

is that larger than 180?

anonymous · Answer

no

jim_thompson5910 · Answer

so there's no possible way for any of the angles to be larger than 180 (since 150 is the largest one)

jim_thompson5910 · Answer

so every angle is smaller than 180 degrees

leading us to conclude this polygon is convex (and not concave)

jim_thompson5910 · Answer

so Brian drew the wrong figure

anonymous · Answer

because no interior angle measures more than 180

jim_thompson5910 · Answer

yep

jim_thompson5910 · Answer

so the final answer is "He draws an incorrect figure because no interior angle measures more than a straight angle."

remember that a straight angle is 180 degrees

anonymous · Answer

thanks

jim_thompson5910 · Answer

you're welcome