SOLUTION: What is x? http://imgur.com/sXKfr0P

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Question 1017750: What is x? http://imgur.com/sXKfr0P
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
your picture is at this link.

http://imgur.com/sXKfr0P

it looks like this:

both those angles are inscribed angles of the same arc on the circle.

that would be arc AB.

therefore the angles have to be equal to each other.

you have 2x + 11 = 4x - 3.

solve for x as follows:

start with 2x + 11 = 4x - 3.

subtract 2x from both sides of the equation and add 3 to both sides of the equation to get 14 = 2x.

solve for x to get x = 14/2 = 7 degrees.

that's your solution.

here's a reference on the different types of angles formed in a circle.

http://www.regentsprep.org/regents/math/geometry/gp15/circleangles.htm

here's another reference.

http://www.geom.uiuc.edu/~dwiggins/conj44.html