Answer:
Angle 2 is congruent to Angle 8
Step-by-step explanation:
There are 4 theorems we need in order to prove that a is parallel to t.
Since we are dealing either transversal, they are called. 1. Converse of Alternate Interior ANGLES Theorem,
If a transversal cuts through two lines and their two alt interior angles are congruent then those two lines are parallel.
2. Converse of Corresponding Angles
If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.
3.Converse of Same Side Consective Interior Angles
"If two lines intersected by a transversal form supplementary same-side interior angles, then the lines are parallel
4. Converse of Alternate Exterior Angles,
If two lines intersected by a transversal form alt. exterior angles, then the lines are parallel.
The 1st answer choice is wrong, Vertical angles doesnt prove lines are parallel.
The 3rd choice is wrong. Linear pair angles doesnt prove lines are parallel.
The 4th choice is wrong, while they do form 180 degrees, they aren't same side INTERIOR angles as angle 1 is on the exterior and 4 is in the interior.
The 2and choice is right.
