What happens if the red lines are not parallel. which angle types are still congruent? ( )

Two parallel lines intersected by a common transversal form eight angles

If the red lines are NOT parallel, the angles types that are still congruent are;

Vertical angles

The reason vertical angles are the only correct option is as follows:

According to vertical angles theorem, the vertical opposite angles which are the angles formed when two lines cross are always congruent

Therefore, given that the lines still crosses when they are no longer parallel, the vertical angles are still congruent

Linear pair angles are angles that sum to 180°. By observation, the linear pair are initially not congruent

The same side interior angles are the angles located on the same side of the transversal, on the interior area of the parallel lines

The same side interior angles between parallel lines are always supplementary, and can only be congruent when the red lines are parallel and perpendicular to the transversal. By observation the same side interior angles are not congruent

By alternate interior angles theorem, the alternate interior angles formed between two parallel lines having a common transversal are always congruent. Therefore, when the red lines are not parallel, the alternate interior angles are not parallel

Similar to the same side interior angles, the same side exterior angles are only congruent when the red lines are parallel and perpendicular to the transversal. Therefore, when the red lines are not parallel, the same side exterior angles will not be congruent

According to the alternate exterior angles theorem, the alternate exterior angles formed between two parallel lines having a common transversal are congruent. Therefore, when the red lines are not parallel, the alternate exterior angles will not still be congruent

According to corresponding angles theorem, the corresponding angles formed between two parallel lines intersected by a common transversal are congruent

Therefore, if the red lines are not parallel, the corresponding angles will not still be congruent

Therefore, the angle types that are still congruent when the red lines ae not parallel are the vertical angles

Learn more about angles formed between parallel lines here:

link

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

step-by-step explanation:

the answer is 128