angle 1 and angle 2 are supplementary_____Given
angle 3 and angle 4 are supplementary_____Given
angle 3 ≅ angle 4______________________Given
m(angle 3) = m(angle 4)________________Definition of congruent angles
m(angle 1) + m(angle 2) = m(angle 3) + m(angle 4)______Definition of supplementary angles
m(angle 3) + m(angle 2) = m(angle 3) + m(angle 4)______Substitution
m(angle 2) = m(angle 4)____________________________Subtraction property of equality
angle 2 ≅ angle 4_________________________________Definition of congruence