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°.