Given triangleABC congruent to trianglePQR, mangleB = 3v + 4, and mangleQ = 8v – 6, find mangleB and mangleQ.

Question

A: 22

B: 11

C: 10

D: 25

Answer 1

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