Given △ABC≅△PQR,∡B=3v+4, and ∡Q∡=8v−6, find ∡B and ∡Q. (1 point)
10
25
22
11
Since ∆ABC ≅ ∆PQR, the corresponding angles are congruent.
Therefore, ∠B = ∠Q.
Given that ∠B = 3v + 4 and ∠Q = 8v - 6, we can set up the following equation:
3v + 4 = 8v - 6
Solving for v:
4 + 6 = 8v - 3v
10 = 5v
v = 2
Now, substitute the value of v back into the expressions for ∠B and ∠Q:
∠B = 3(2) + 4 = 6 + 4 = 10
∠Q = 8(2) - 6 = 16 - 6 = 10
Therefore, ∠B = 10 and ∠Q = 10.