Answer:
[tex]x=8[/tex]
Step-by-step explanation:
The correct question is
Quadrilateral DEFG is congruent with Quadrilateral SPQR
Solve for x
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
we have that
GF and RQ are corresponding sides
so
RQ=GF
substitute the given values
[tex]2x-4=12[/tex]
solve for x
adds 4 both sides
[tex]2x=12+4[/tex]
[tex]2x=16[/tex]
divide by 2 both sides
[tex]x=8[/tex]
