Mathematics, 17.07.2019 11:00, lindseyklewis1p56uvi

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

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answered: gg68814

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:

Vertical angles:

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:

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

Same-side interior angles:

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

Alternate interior angles:

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

Same side exterior angles:

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

Alternate exterior angles:

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

Corresponding angles:

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

answered: boportsmouth7908

The answer for the question is the first option, which is: Vertical.
The explanation is shown below:
By definition, the vertical angles are those opposite angles that are formed by intersecting lines. Keeping this on mind, if the red lines shown in the figure above are not parallel, the vertical angles of each one them are still congruent.
What happens if the red lines are not parallel. which angle types are still congruent? ( )