Solve. Justify your responses.
Given:
AB║CD║EF
Prove: m∠1+m∠2+m∠3+m∠4=360°

Answer/Step-by-step explanation:
[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given
[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary
[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary
Therefore:
[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]