in the diagram gef and hef are congruent what is the value of x
A.60
B.41
C.28
D.30

Answer: C.28
Step-by-step explanation:
Given: Triangle GEF and triangle HEF are congruent triangles.
Since the corresponding angles of congruent triangles are congruent.
Therefore, ∠EFG≅∠EFH [CPCTC]
From the given diagram we have
[tex]2(x+2)=60^{\circ}\\\\\Rightarrow\ x+2=30\\\\\Rightarrow\ x=30-2\\\\\Rightarrow\ x=28[/tex]
Hence, the value of x = 28.