That depends on what it is that you're looking for the tangent of. One generic technique though would be:
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How about a rhombus or a kite
You can find the intersection of the angle bisectors or the intersection of the perpendicular bisectors of each side.
a tangent is a line that touches the circle at only ONE point
budosnp
To measure the point at which two tangents intersect each other, find an equation for each tangent line and compute the intersection. The tangent is the slope of a curve at a point. Knowing that slope and the coordinates of that point, you can determine the equation of the tangent line using one of the forms of a line such as point-slope, point-point, point-intercept, etc. Do the same for the other tangent. Solve the two equations as a system of two equations in two unknowns and you will have the point of intersection.