The correct option is C.
Step-by-step explanation:
It is given that CD is the perpendicular bisector of both XY and ST, and CY=20.
In triangle XCD and YCD,
(Common sides)
(Definition of perpendicular bisector)
(Definition of perpendicular bisector)
By SAS postulate of congruent triangles,
![\triangle XCD=\triangle YCD](/tpl/images/0486/2476/60c83.png)
The corresponding parts of congruent triangle are congruent,
(CPCTC)
(CY=20)
The length of CX is 20 units. Therefore the correct option is C.