Question

Solve. Justify your responses.

Given:

AB║CD║EF


Prove: m∠1+m∠2+m∠3+m∠4=360°

Answer 1

Answer/Step-by-step explanation:

`\overline{AB} \parallel \overline{CD} \parallel \overline{EF}` ----› Given

`\angle 1 + \angle 2 = 180` ----› consecutive interior angles are supplementary

`\angle 3 + \angle 4 = 180` ----› consecutive interior angles are supplementary

Therefore:

`\angle 1 + \angle 2 + \angle 3 + \angle 4 = 360`