Triangle abc has a side measuring 7 inches, a side measuring 10 inches, and an angle measuring 38°. to construct another triangle that is definitely congruent to triangle abc with only this information, which statement is correct about triangle abc?

The complete question gives the following options:
A)The 7-inch side and the 10-inch side must make a 52° angle.
B)The 7-inch side and the 10-inch side must make the 38° angle.
C)It does not matter whether or not the 7-inch side and the 10-inch side make a 52° angle.
D)It does not matter whether or not the 7-inch side and the 10-inch side make the 38° angle. 

According to the SAS rule for triangle congruency, two triangles are congruent if they have congruent two sides and the angle included.

Therefore, the only way to build a triangle congruent to ABC is to say that the given angle is the one included between the two sides.
Therefore, the correct answer is: B)The 7-inch side and the 10-inch side must make the 38° angle.