In the figure, ∠x ≅ ∠y and ∠a ≅ ∠b. Prove that L1 / / L3. Kindly use Two-column proof.

Question

Answer 1

Since ∠x = ∠y, L₂ ll L₃ (alternate interior angles)

Since ∠a = ∠b, L₁ ll L₂ (corresponding angles)

So, since L₁ ll L₂ and L₂ ll L₃, L₁ ll L₃ (Transitivity)