A rectangular area is to be enclosed and divided into thirds. The family has $640 to spend for the fencing material. The outside fence costs $10 per foot installed, and the dividers cost $20 per foot installed. Let x represent the length (in feet) of a side perpendicular to the dividers, and let y represent the length (in feet) of a side parallel to the dividers.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem