anonymous
  • anonymous
Find the measure of each exterior angle of a regular dodecagon.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
okay well do you know what a dodecagon looks like
anonymous
  • anonymous
yes, 12 sides correct?
anonymous
  • anonymous
yes

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anonymous
  • anonymous
okay
anonymous
  • anonymous
pls help
anonymous
  • anonymous
dont actually have a clue how to do this but here http://www.coolmath.com/reference/polygons-12-dodecagons
AakashSudhakar
  • AakashSudhakar
There is a master equation to find the interior angle measure of any regular polygon. That equation is as follows: \[180^{o}(N-2) = \theta\]where theta is your internal angle measure and N is the number of sides that the polygon has. To find the external angle measure corresponding to any internal angle measure, recall that for any polygon, the bounded internal and external angle measures sum up to 360 degrees. Therefore, to find an external angle measure, simply subtract the equation above's value from 360 degrees for a regular dodecahedron.
AakashSudhakar
  • AakashSudhakar
I'm sorry, I messed up a little. The equation above gives the TOTAL degrees contained by any polygon. You have to divide that number by N to get an individual internal angle measure. Then subtract that value from 360 to get an external angle measure.
anonymous
  • anonymous
is it 15?
anonymous
  • anonymous
well by just looking at the figure you know its more than 90
anonymous
  • anonymous
it should be 150
anonymous
  • anonymous
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anonymous
  • anonymous
The options are A. 15 degrees, B. 60 degrees, C. 30 degrees and D. 20 degrees
anonymous
  • anonymous
so whats 180 + 30
anonymous
  • anonymous
oh okay im wrong then
anonymous
  • anonymous
are you sure its asking for the exterior angle?
anonymous
  • anonymous
yes
anonymous
  • anonymous
thats strange im positive the interior angle is 150
anonymous
  • anonymous
exterior
anonymous
  • anonymous
well yea thats what i just did in the picture, and i'm sort of certain exterior angles have to be more than 180 so perhaps it means how much greater than 180 (which is a given) the angle is. In this case 30. what do you think?
anonymous
  • anonymous
yes thank u so much
anonymous
  • anonymous
Exterior angles always total 360 degrees regardless of the number of angles.

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