65 degrees because then it adds to 180 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.
30k + 70 = 20k + 80
30k - 20k = 80 - 70
10k = 10 / : 10
<u>k </u><u>=</u><u> </u><u>1</u>