but generally how it's going to look draw a line bisecting the circle, and a second line bisecting the circle. I guess this is still kinda hard but you should be able to get pretty close by just drawing a vertical line that cuts the circle in half, rotating the paper, and then drawing another vertical line that cuts the circle in half. ie doesn't matter what angle as long as you cut the circle exactly in half. Now you should have a middle point of the circle, where those two lines intersect. Draw a line segment (let's call it OB for the origin of the circle to point B) projecting from that circle midpoint going out (or use one of your first two lines) - you want to focus on where this point B, at the intersection of that line segment and your circle is. Using your compass, with one point of the compass at B, draw a second, smaller circle around that point B. That circle should intersect the first circle at two more points, let's call them A and C. Draw a line between A and C. Level your ruler on the line between A and C and shift it up to B at the same angle. Draw a line.

You now have your line tangeant to the circle.