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Geometry 19 Online
OpenStudy (anonymous):

Solve for x ????????

OpenStudy (anonymous):

|dw:1418277737270:dw|

OpenStudy (anonymous):

well find the inner part by subracting : 180 - 130 --> 50 so

OpenStudy (anonymous):

|dw:1418277904230:dw|

OpenStudy (anonymous):

you know the sum of the angles in a triangle is 180 right? so add all of the numbers inside so 50 + 8x+4 + 12x-14 = 180 solve for x:)

OpenStudy (anonymous):

so it could be \[\times >10\]

OpenStudy (mathstudent55):

Theorem: The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

OpenStudy (mathstudent55):

In your case, the given exterior angle has measure 130. The two remote interior angles have measures 8x + 4 ans 12x - 14. Set 130 equal to the sum of 8x + 4 and 12x - 14 and solve for x.

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