Question 578233: Hello,
Geometry-Fine the measure of each labeled angle
The question: Two intersecting lines (sort of like X. On one side it has 10x+6 on the other side of the angle it has 12x-5.
I have completed several of these types of problems, but I can not answer the variable for X. I need to find what X represents. I keep coming up with x=22, but that cant be right. Can someone please help me with this measure? Since it's not 90 degree's, would it be 180 degree's or 360degree's
I know this is probably a very simple question, but I just cant seem to get the right answer?
Thank you very much.
Melissa
Found 2 solutions by dfrazzetto, richwmiller:
Answer by dfrazzetto(283)   (Show Source):
You can put this solution on YOUR website!
Set the equations equal to each other, since the angles on either side of two intersecting lines must be equal:
10x+6 = 12x - 5
11 = 2x
x= 11/2 or 5.5, plug this back in to either one to get the angle
10(5.5) + 6 = 55+6 = 61 degrees
12(5.5) - 5 = 66-5 = 61 degrees √
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Answer by richwmiller(17219)  (Show Source):
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