Given triangleABC congruent to trianglePQR, mangleB = 3v + 4, and mangleQ = 8v – 6, find mangleB and mangleQ.
A: 22
B: 11
C: 10
D: 25
To find the value of v, set the expressions for angle B and angle Q equal to each other.
3v + 4 = 8v - 6
Solve for v:
4 + 6 = 8v - 3v
10 = 5v
v = 2
Now substitute v = 2 back into the expressions for angle B and angle Q:
mangleB = 3(2) + 4 = 6 + 4 = 10
mangleQ = 8(2) - 6 = 16 - 6 = 10
Therefore, angle B = 10 and angle Q = 10.
Therefore, the answer is C: 10