1: The best statement for reason 6 of this proof is -∠A ≅ ∠C -∠B ≅ ∠D -∠B and ∠D are supplements -∠B ≅ ∠B 2.The best reason for statements 3.5. and 7 in this proof is - Alternate interior angles are congruent. -Corresponding angles are congruent. -Alternate exterior angles are congruent. -Interior angles on the same sides of a transversal are supplements.

3. The best statement for reason 8 of this proof is -∠B ≅ ∠B -∠A and ∠C are supplements. -∠B ≅ ∠D -∠A ≅ ∠C

1) -∠B ≅ ∠D

2) -Interior angles on the same side of a transversal are supplementary

3) -∠A ≅ ∠C

Step-by-step explanation:

1) Given that ∠A and ∠B are supplements and ∠A and ∠D are supplements, we have; ∠B ≅ ∠D

2)  Given that ABCD is a parallelogram, therefore ∠A and ∠B,  ∠A and ∠D and ∠B and ∠C  are interior angles on the same side of a transversal and are therefore supplementary

3) Given that ∠A and ∠B and ∠B and ∠C are supplementary, therefore, ∠A ≅ ∠C.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign