Ois the center of the given circle. the measure of angle o is 134 degrees.

Here's the key to unlock the whole problem and make it crumble in a pile of dust at your feet:. A tangent is perpendicular to the radius at the point where the tangent touches the circle. /// Connect point O to the point way outside, and you have two congruent right triangles face to face. The angles inside each one add up to 180. Each angle at O is half of 134, and each angle at the point way outside is half of 'x'. I bet you can do it now.

360 - 134 = 226

m<x = 1/2(226-134)
m<x = 92/2
m<x = 46

answer is B. 46