Δ ABC ≡ ΔDEF
⇒ ∠DEF = ∠ABC
.
Solve x:
x - 8 = 65
x = 73
Answer: x = 73°
Because ABC and DEF are congruent.
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F.
We need m∠B = m∠E.
m∠B = 65⁰
m∠E = (x-8)⁰
65 = x-8
x=65 + 8 = 73⁰
Answer: x=73⁰.