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See explanation.

Step-by-step explanation:

1) Let’s use process of elimination to find our answer.

a) These two angles are vertical to each other, meaning they are congruent. So, ∠1 and ∠3 are not supplementary angles.

b) ∠2 and ∠6 are congruent, since they both are on the same place as each other, which makes them corresponding angles. So, ∠2 and ∠6 are not supplementary angles.

c) ∠4 and ∠6 are alternate interior angles, meaning they are congruent. So, they are not supplementary angles.

d) ∠7 and ∠8 share the same straight line and the same median, meaning they are supplementary.

D is the correct answer.

2) Again, process of elimination.

a) ∠1 and ∠3 are vertical angles, not alternate exterior.

b) ∠2 and ∠6 are congruent angles since they are corresponding, but not alternate exterior.

c) ∠4 and ∠6 are alternate interior angles, not alternate exterior angles.

d) ∠7 and ∠1 are alternate exterior angles.

D is the correct answer.

3) Process of elimination.

a) ∠1 and ∠4 are supplementary angles, meaning they aren’t congruent.

b) ∠4 and ∠5 are again, supplementary. So, they aren’t congruent.

c) ∠1 and ∠5 are congruent angles since they are corresponding angles.

d) ∠7 and ∠8 both share the same straight line and median, so they are supplementary, not congruent.

C is the correct answer.

4)  

a) ∠4 and ∠8 are corresponding angles since they are both in the exact same place as each other.

b) ∠4 and ∠6 are alternate interior angles, not corresponding angles.

c) ∠1 and ∠2 both share the same straight line and the same median, meaning they are supplementary. So, they are not corresponding angles.

d) ∠2 and ∠8 are alternate exterior angles, and not corresponding.

A is the correct answer.

5) ∠1 and ∠2 are supplementary angles since they share the same straight line and median. So, their sum is 180°.

If m∠2=70°,

m∠1=110°

C is the correct answer.

6) ∠2 and ∠4 are vertical angles, meaning they are congruent.

If m∠2=70°,

m∠4=70°.

A is the correct answer.

7) ∠2 and ∠6 are corresponding angles, meaning they are congruent.

If m∠2=70°

m∠6=70°.

D is the correct answer.

8) ∠2 and ∠3 both share the same straight line and median, meaning they are supplementary and have a sum of 180°.

If m∠2=70°,

m∠3=110°

B is the correct answer.

9) ∠6 and ∠7 are supplementary angles, meaning they share the same straight line and median. So, their sum is 180°.

If m∠6=106°,

m∠7=74°

B is the correct answer.

10) ∠6 and ∠1 are both exterior angles, but they are both on the same straight lines. So, their sum is 180°.

If m∠6=106°,

m∠1=74°

B is the correct answer.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: