To make the given triangles congruent the corresponding sides need to be equal.
Corresponding sides:
GB and HR
BT and RA
GT nad HA
Use one of the equations above to find x, and then prove if that value you find makes truth all three equations:
Use the first equation:
Prove if x=19 makes truth the three equations:
First equation:
Second equation:
Third equation:
Then, as x=19 makes true all the equations. The value of x that makes ∆GTB= to ∆HAR is 19