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We know that vertical angles are congruent, which means that m∠3 = m∠5. We also know that supplementary angles add up to 180°, which means that m∠4 + m∠5 = 180°.
Since m∠3 = 67° and m∠3 = m∠5, we can substitute 67° for m∠3 and m∠5 in the equation m∠4 + m∠5 = 180°.
So the equation to solve for m∠4 is:
m∠4 + 67° = 180°.