Given ABC PQR, m < B = 3v + 4, and m

Since both triangles ABC and PQR are congruent, this means that measure angle B = measure angle Q

Therefore:

3v + 4 = 8v - 6

4 + 6 = 8v - 3v

10 = 5v

v = 10/5 = 2

Therefore:

measure angle B = 3v + 4 = 3 (2) + 4 = 6+4 = 10

measure angle Q = 8v - 6 = 8 (2) - 6 = 16-6 = 10

You will find that the two angles are equal due to the triangles being congruent as mentioned before