geometry/trigonometry

Question

1.    Provide reasons for the proof.

Two parallel lines a and b cut by a transversal c is shown

Statements	Reasons
1,  a||b	1. Given
2.	2.
3.	3.
4. 1  7	4.

   

https://lh3.googleusercontent.com/mOP_fPc-3NSCs_IeQPkwBxhpHM_0hNMrnHtLI2QjXQut12l_XCRYI5sd3TVao4YiB5oYRuA=s90 - link for the image

https://lh3.googleusercontent.com/BOqbx8QY6_aAq8CmF_oaNbY-K5cJANXflPwoueO5XR7GzVQ9Nv104jl5frdBgnVhReaD=s170 - link for the possible inputs for the table

Answer 1

I'm going to take a complete stab in the dark and GUESS that the figure that goes with this problem looks something like this:

Given a||b, prove that ∠1 ≅ ∠7

Statements | Reasons

1. a||b | Given

2. ∠1 ≅ ∠5 | Corresponding Angles Postulate

3. ∠5 ≅ ∠7 | Vertical Angles Theorem

4. ∠1 ≅ ∠7 | Substitution