Answer-
The value of y is 6 units.
Solution-
Given ∆ABC ≅ ∆GEF
If two triangles are congruent, then the corresponding sides are also congruent.
So,
EF = BC, GF = AC
Putting the values,
[tex]\Rightarrow x-y=4[/tex] --------------1
[tex]\Rightarrow x-8=2[/tex]
[tex]\Rightarrow x=10[/tex] --------------------2
Putting the values of x in equation 1,
[tex]\Rightarrow 10-y=4[/tex]
[tex]\Rightarrow y=10-4=6[/tex]
Therefore, the value of y is 6 units.
