Steps to construct the required figure:
Step 1: Draw a circle with a bangle.
Step 2:Take two non- parallel chords as AB and CD of the circle.
Step 3: Draw the perpendicular bisector of these chords intersecting each other at O,which is the center of the circle made by bangle.
Step 4:Take a point P outside the circle and join OP.
Step 5: Mark the midpoint M of OP.
Step 6: Draw a circle with center as M and radius as MP=OM,which will intersect the first circle at R and Q.
Step 7:Join PQ and PR and hence we got the required tangents.