3. which angle corresponds to /3?
a) /6
b) /8
c) /1
d) /7

4. which pair of angles are same-side interior angles?
a) /1 and /4
b) /3 and /6
c) /4 and /7
d) /2 and /3

Part 3) Which angle corresponds to /3?

we know that

m∠3=m∠8 --------> by corresponding angles

m∠7=m∠8 -------> by vertical angles

so

m∠3=m∠7 -------> by alternate interior angles

The answer Part 3) is

B) /8

D) /7

Part 4) Which pair of angles are same-side interior angles?

we know that

The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

so

in this problem

m∠4+m∠7= -------> by consecutive interior angles

m∠1+m∠3= -------> by consecutive interior angles

therefore

m∠4 and m∠7 are same-side interior angles

m∠1 and m∠3 are same-side interior angles

the answer Part 4) is

C) /4 and /7

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions