Given △ABC≅△PQR,∡B=3v+4, and ∡Q∡=8v−6, find ∡B and ∡Q.
22
22
25
25
10
10
11
To find ∡B and ∡Q, we can set the corresponding angles equal to each other and solve for v.
∡B = 3v + 4
∡Q = 8v - 6
Since the triangles are congruent, their corresponding angles have the same measures. Therefore,
3v + 4 = 8v - 6
Simplifying the equation,
4 + 6 = 8v - 3v
10 = 5v
v = 2
Now we can substitute the value of v back into the expressions for ∡B and ∡Q.
∡B = 3(2) + 4
∡B = 10
∡Q = 8(2) - 6
∡Q = 10
So, ∡B = 10 and ∡Q = 10.
Option 3: 10, 10