In the diagram, triangle RST is congruent to triangle XYZ. Find x.
a. 7
b. 12
c. 35
d. 15

Answer: (c) 35 is the correct option.
Step-by-step explanation: Given that triangles RST and XYZ are congruent to each other.
We are to find the value of x.
From the figure, we note that
RT = (x +21) units and XZ = (2x - 14) units.
Since RT and XZ are corresponding parts of the congruent triangles, so we must have
[tex]RT=XZ\\\\\Rightarrow x+21=2x-14\\\\\Rightarrow 2x-x=21+14\\\\\Rightarrow x=35.[/tex]
Thus, the value of x is 35.
Option (c) is CORRECT.