∠2 and ∠4 are vertical opposite angles and they are congruent.
How to prove vertical angles?
Vertically opposite angles are congruent.
Therefore, let proof ∠2 and ∠4 are vertical angles
Hence,
m∠2 + m∠3 = 180
∠2 and ∠3 are linear pair.
m∠3 + m∠4 = 180
∠3 and ∠4 are linear pair.
∠2 and ∠4 are vertical angles
m∠2 + m∠3 = m∠3 + m∠4
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