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anonymous

  • one year ago

Find the measure of each exterior angle of a regular dodecagon.

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  1. anonymous
    • one year ago
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    okay well do you know what a dodecagon looks like

  2. anonymous
    • one year ago
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    yes, 12 sides correct?

  3. anonymous
    • one year ago
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    yes

  4. anonymous
    • one year ago
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    okay

  5. anonymous
    • one year ago
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    pls help

  6. anonymous
    • one year ago
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    dont actually have a clue how to do this but here http://www.coolmath.com/reference/polygons-12-dodecagons

  7. AakashSudhakar
    • one year ago
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    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.

  8. AakashSudhakar
    • one year ago
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    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.

  9. anonymous
    • one year ago
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    is it 15?

  10. anonymous
    • one year ago
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    well by just looking at the figure you know its more than 90

  11. anonymous
    • one year ago
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    it should be 150

  12. anonymous
    • one year ago
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    |dw:1438282763254:dw|

  13. anonymous
    • one year ago
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    The options are A. 15 degrees, B. 60 degrees, C. 30 degrees and D. 20 degrees

  14. anonymous
    • one year ago
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    so whats 180 + 30

  15. anonymous
    • one year ago
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    oh okay im wrong then

  16. anonymous
    • one year ago
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    are you sure its asking for the exterior angle?

  17. anonymous
    • one year ago
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    yes

  18. anonymous
    • one year ago
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    thats strange im positive the interior angle is 150

  19. anonymous
    • one year ago
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    exterior

  20. anonymous
    • one year ago
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    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?

  21. anonymous
    • one year ago
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    yes thank u so much

  22. anonymous
    • one year ago
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    Exterior angles always total 360 degrees regardless of the number of angles.

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