Given △ABC≅△PQR, m∠B=8x−4 and m∠Q=4x+12
, find m(1 point)
Responses
8
28
16
42
To find the value of x, we can set the angles B and Q equal to each other:
8x - 4 = 4x + 12
Subtract 4x from both sides:
4x - 4 = 12
Add 4 to both sides:
4x = 16
Divide both sides by 4:
x = 4
Now that we know the value of x, we can substitute it back into one of the angle measures to find the angle measure B:
m∠B = 8x - 4 = 8(4) - 4 = 32 - 4 = 28
Therefore, m∠B = 28.