Mathematics
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OpenStudy (anonymous):
anyone know how to do the exterior angle theorem? i really need help
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OpenStudy (anonymous):
360/N?
OpenStudy (anonymous):
yeah someting like that
OpenStudy (mertsj):
The exterior angle of a triangle is equal to the sum of the 2 remote interior angles.
OpenStudy (anonymous):
like finding the measure of it with equations
OpenStudy (mertsj):
The sum of the exterior angles of any convex polygon is 360 degrees
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OpenStudy (anonymous):
are you trying to find a side of an angle?
OpenStudy (anonymous):
yes but using an equation like the one im doing now says P is 30 degrees and RH is 8+6x and then Q is 4x+2
OpenStudy (anonymous):
but its triangle form of course
OpenStudy (anonymous):
i think you set it up to 360.
OpenStudy (anonymous):
if there exterior angles
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OpenStudy (mertsj):
Is P the exterior angle?
OpenStudy (anonymous):
no RH is
OpenStudy (mertsj):
So P and Q are the interior angles?
OpenStudy (anonymous):
yeah i think so
OpenStudy (mertsj):
Then 4x+2+30=8+6x
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OpenStudy (anonymous):
yeah cause P is 30 degrees RH which is the exterior angle is 8+6x and Q is 4x+2
OpenStudy (mertsj):
The exterior angle which is 8+6x is equal to the sum of the two remote interior angles which are 30 and 4x+2
OpenStudy (mertsj):
So solve that equation.
OpenStudy (anonymous):
alright thanks
OpenStudy (anonymous):
wait so you just subtract from 30 on both sides?
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OpenStudy (amoodarya):
ANY POLYGON HAS n angles
so has n*180 (sum of angles )
(n-2)*180 sum of angles are inside of polygon
so n-(n-2)=2 *180 sum of exterior angles
OpenStudy (anonymous):
i set it up as 4x+2+30=8+6x
OpenStudy (mertsj):
1. Add the like terms
2. Subtract 4x from both sides
3. Subtract 8 from both sides
4. Divide both sides by 2
OpenStudy (anonymous):
ok thanks :)
OpenStudy (mertsj):
yw
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OpenStudy (anonymous):
so you combine 4x and 6x together..sorry for all the question
OpenStudy (anonymous):
im still just a little confused
OpenStudy (mertsj):
yes. 6x-4x=2x
OpenStudy (anonymous):
ok thanks
OpenStudy (anonymous):
dont you mean 6x+4x since the problem is additon
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OpenStudy (mertsj):
Did you notice that step 2 said to subtract 4x from both sides?
OpenStudy (anonymous):
ohh wait i accidentally skipped it