How do you prove alternate exterior angles?

Alternate Exterior Angles Theorem: If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent. The proof of this theorem is very similar to that of the Alternate Interior Angles Theorem.

How do you prove the alternate exterior angles theorem?

Video quote: We're given that they are parallel. And you can see as such i've got the tick marks on there to show well they're parallel wrote it down in my givens right there line one p parallel to q.

How do you prove an alternate angle?

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent . So, in the figure below, if k∥l , then ∠2≅∠8 and ∠3≅∠5 . Proof.

How do you know if it’s an alternate exterior angle?

To find exterior angles, look in the space above and below the crossed lines. To find alternate exterior angles, look at that outside space for each crossed line, on different sides of the transversal. We hope you said ∠1 , ∠2 , ∠7 , and ∠8 are the exterior angles.

How do you prove parallel lines with alternate exterior angles?

If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.

How do you solve alternate exterior?

Video quote: I just need to get the X by itself so i'll subtract 2x. On both sides and i get 26 equals x minus 33 solve for x i add 30 3 to both sides and i get fifty nine equals x.

Which angle is an alternate exterior angle to 8?

In the figure, we can observe that ∠1 and ∠7 are alternate exterior angles and ∠2 and ∠8 are alternate exterior angles because: Both lie on the exterior side of the lines; and. They are placed on the opposite sides of the transversal.

Do corresponding angles add up to 180?

Corresponding angles can be supplementary if the transversal intersects two parallel lines perpendicularly (i.e. at 90 degrees). In such case, each of the corresponding angles will be 90 degrees and their sum will add up to 180 degrees (i.e. supplementary).

What angle is alternate exterior to 2?

Two alternating exterior angles are given as (2x + 10) ° and (x + 5) °. Check whether the angles are congruent. Alternating exterior angles are equal when the transversal crosses two parallel lines. Therefore, equate the two angles.