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# Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v – 6. Find m∠B and m∠Q.

22, 11, 10, 25

**Solution:**

Given ΔABC ≅ ΔPQR

m∠B = 3v + 4 ; m∠Q = 8v – 6

Since the triangles are congruent, the corresponding angles must be the same.

Hence, m∠B = m∠Q.

3v + 4 = 8v – 6

8v -3v = 6+4

5v =10

v=2

m∠B = 3v + 4 = 3(2) + 4 = 6+4 = 10°

m∠Q = 8v – 6 = 8(2) - 6 = 16-6 = 10°

## Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v – 6. Find m∠B and m∠Q.

**Summary:**

Given ΔABC ≅ ΔPQR, m∠B = 3v + 4, and m∠Q = 8v – 6. Then m∠B and m∠Q are 10°.

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