Given △ABC≅△PQR, m∠B=8x−4 and m∠Q=4x+12

, find m(1 point)
Responses

8

28

16

42

1 answer

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.
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