Given △ABC≅△PQR, m∠B=8x−4 and m∠Q=4x+12 , find m
8
28
16
42
Since △ABC≅△PQR, we can equate corresponding angles:
m∠B = m∠Q
8x - 4 = 4x + 12
Solving for x:
8x - 4x = 12 + 4
4x = 16
x = 4
Substituting the value of x back into the equation:
m∠B = 8x - 4 = 8(4) - 4 = 32 - 4 = 28
So, m∠B = 28.