SOLUTION: How do I solve for x with the information given? <a href="http://s155.photobucket.com/albums/s291/jesseatle/?action=view&current=untitledxfgh.jpg" target="_blank"><img src="http

Algebra ->  Circles -> SOLUTION: How do I solve for x with the information given? <a href="http://s155.photobucket.com/albums/s291/jesseatle/?action=view&current=untitledxfgh.jpg" target="_blank"><img src="http      Log On


   

Question 139417: How do I solve for x with the information given?
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how the drawing has one angle that is not labeled. This angle and angle "x" are vertical angles. So this means that the unlabeled angle is also "x". So in the drawing write in this angle.


Since there are 360 degrees in a circle, this means that the sum of these angles is 360. So we have the equation

100%2Bx%2B160%2Bx=360





2x%2B260=360 Combine like terms on the left side


2x=360-260Subtract 260 from both sides


2x=100 Combine like terms on the right side


x=%28100%29%2F%282%29 Divide both sides by 2 to isolate x



x=50 Divide

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Answer:
So our answer is x=50