Question

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

Answer 1

3. Which angle corresponds to <3?

answer
B) <8

4. Which pair of angles are same-side interior angles?
answer
C) <4 and <7

Answer 2

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=
`180\°` -------> by consecutive interior angles

m∠1+m∠3=
`180\°` -------> 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