Drawing an arc, tangent to two lines
The steps used to drawn an arc tangent to two lines is illustrated in figure 11.

Figure 11. illustrates the method of drawing an arc tangent to two lines.
Drawing an arc, tangent to a line and an arc
Figure 12 shows the steps in drawing an arc tangent to a line and an arc that (a) that do not intersect and (b) that intersect each other.

Figure 12 Drawing an arc tangent to a line and an arc