The length of a living room rug is 12 1/2 feet, and the width is 10 3/4 feet. there is a loveseat that covers 12 1/2 squrare feet of the rug and an entertantment center that cover 6 squrare feet. what is the area of the rug that can be seen?

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