Question

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

Answer 1

okay well do you know what a dodecagon looks like

Answer 2

yes, 12 sides correct?

Answer 3

yes

Answer 4

okay

Answer 5

pls help

Answer 6

dont actually have a clue how to do this but here http://www.coolmath.com/reference/polygons-12-dodecagons

Answer 7

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.

Answer 8

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.

Answer 9

is it 15?

Answer 10

well by just looking at the figure you know its more than 90

Answer 11

it should be 150