Question

Lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x?

Answer 1

that is an ugly drawing... but if a line goes from the center of the circle to a tangent line, it will form a right angle (90 degrees)
that means you know 2 out of the 3 angles in the triangle, and can figure out the 3rd angle.

Answer 2

sorry about the ugly drawing

Answer 3

so i would do 180-90-43 to get x?
if so x=47 degrees