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Geometry 22 Online
OpenStudy (anonymous):

HELP ! Which of the following best describes this polygon? concave octagon concave decagon convex octagon convex decagon

OpenStudy (anonymous):

OpenStudy (anonymous):

its b or d not shur...

jimthompson5910 (jim_thompson5910):

good, i'm getting 10 sides too so its a decagon

jimthompson5910 (jim_thompson5910):

are there any interior angles that are greater than 180 degrees?

OpenStudy (anonymous):

yes its greater than 180

jimthompson5910 (jim_thompson5910):

which interior angle

OpenStudy (anonymous):

wait they would all equal 360 rite ?

jimthompson5910 (jim_thompson5910):

here is what an interior angle looks like |dw:1357693757197:dw| I didn't feel like drawing a decagon, but the same idea applies

jimthompson5910 (jim_thompson5910):

its any angle where it's on the inside of a polygon

OpenStudy (anonymous):

yes i See theres 6 rite ?

jimthompson5910 (jim_thompson5910):

well that's just my example (and my laziness in not wanting to draw 10 sides lol)

jimthompson5910 (jim_thompson5910):

in the case of a decagon, there are 10 interior angles

jimthompson5910 (jim_thompson5910):

decagon = 10 sides and 10 interior angles

OpenStudy (anonymous):

lol iGet tht but did i get the example right ?

jimthompson5910 (jim_thompson5910):

yes you did

jimthompson5910 (jim_thompson5910):

so looking at the decagon, are there any interior angles that are greater than 180 degrees?

OpenStudy (anonymous):

no there not equal as ilook

jimthompson5910 (jim_thompson5910):

but are any larger than 180 degrees?

OpenStudy (anonymous):

they all are

jimthompson5910 (jim_thompson5910):

here is an angle that is less than 180 degrees |dw:1357694271420:dw| here is one that is greater than 180 degrees |dw:1357694289948:dw|

jimthompson5910 (jim_thompson5910):

IF you had something like this |dw:1357694308708:dw|

jimthompson5910 (jim_thompson5910):

then this interior angle |dw:1357694328930:dw| is larger than 180 degrees which would make this polygon in this example concave

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