SOLUTION: I have a picture problem. It is a triangle with (6x-58)degrees and (2x+4)degrees as interior angles, and 5x as an exterior angle. I need to know what x is equal to. Thank You!

Question 842900: I have a picture problem. It is a triangle with (6x-58)degrees and (2x+4)degrees as interior angles, and 5x as an exterior angle. I need to know what x is equal to. Thank You!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
It is a triangle with (6x-58)degrees and (2x+4)degrees as interior angles, and 5 x as an exterior angle.
:
Convert the exterior angle to an interior angle
(180 - 5x)
:
The three interior angle add up 180 degrees
(6x+58) + (2x+4) + (180-5x) = 180
Combine like terms
6x + 2x - 5x - 58 + 4 + 180 = 180
3x + 126 = 180
3x = 180 - 126
3x = 54
x = 54/3
x = 18
:
You can check this for yourself; find the actual value of each angle and see
if they add up 180.
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