What pair of angles must have the same measure?I'll give brainliest if its correct.

Answer:
[tex]\text{(C) }\angle 2\text{ and }\angle 7[/tex]
Step-by-step explanation:
Angle 2 corresponds with angle 6 and since all corresponding angles are equal, [tex]\angle 2=\angle 6[/tex]. Angle 6 and angle 7 happen to be vertical angles (opposite side of an intersection of two lines). Since all vertical angles are also equal, [tex]\angle 6=\angle 7[/tex] and by substitution, we have: [tex]\implies \boxed{\text{(C) }\angle 2\text{ and }\angle 7}[/tex]