Given △ABC≅△PQR, m∠B=8x−4 and m∠Q=4x+12 , find the measure of angle B

Answer 1

Since △ABC≅△PQR, we know that corresponding angles are congruent. Therefore, m∠B = m∠Q.

Setting up this equation, we have:

8x - 4 = 4x + 12

Subtracting 4x from both sides:

4x - 4 = 12

Adding 4 to both sides:

4x = 16

Dividing both sides by 4:

x = 4

Now we can find the measure of angle B:

m∠B = 8x - 4

m∠B = 8(4) - 4

m∠B = 32 - 4

m∠B = 28

Therefore, the measure of angle B is 28 degrees.