What is true about alternate exterior angles?

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .

What can you say about alternate exterior angles?

The term alternate exterior angles is often used when two lines are cut by a third line, a transversal . The Alternate Exterior Angles Theorem states that if k and l are parallel , then the pairs of alternate exterior angles are congruent .

What is true exterior angle?

Properties. An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

What is always true about alternate interior and alternate exterior angles?

Each pair of alternate interior angles is equal. Each pair of co-interior angles is supplementary. Each pair of corresponding angles is equal. Each pair of alternate exterior angles is equal.

Do same alternate exterior angles add up to 180?

If the transversal cuts across parallel lines (the usual case) then exterior angles are supplementary (add to 180°). So in the figure above, as you move points A or B, the two angles shown always add to 180°.

What is true about same side interior angles?

The theorem for the “same side interior angle theorem” states: If a transversal intersects two parallel lines, each pair of same-side interior angles are supplementary (their sum is 180°).

How do you prove the alternate exterior angles theorem?

Video quote: And alternate exterior angles are congruent then the lines are parallel. So if angle one is in Gruen to angle eight or angle 2 is congruent to angle seven the two lines would be parallel.

Why the alternate exterior angles conjecture is true?

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent .

Which is true about vertical angles?

Vertical angles are always equal to one another.



∠a and ∠b are vertical opposite angles. The two angles are also equal i.e. ∠a = ∠ ∠c and ∠d make another pair of vertical angles and they are equal too. We can also say that the two vertical angles share a common vertex (the common endpoint of two or more lines or rays).

Why are alternate exterior angles always congruent?

Alternate exterior angles are congruent if the lines crossed by the transversal are parallel. If alternate exterior angles are congruent, then the lines are parallel. At each intersection, the corresponding angles lie at the same place.

What must be true about alternate exterior angles in order for lines to be parallel?

Alternate exterior angles are always congruent. If alternate exterior angles are congruent then lines are parallel.

Are alternate exterior angles supplementary or congruent?

congruent

Since alternate interior and alternate exterior angles are congruent and since linear pairs of angles are supplementary, same side angles are supplementary.

Are alternate exterior angles complementary or supplementary?

Yes alternate exterior angles are supplementary.

What is alternative angle?

Definition of alternate angle



: one of a pair of angles with different vertices and on opposite sides of a transversal at its intersection with two other lines: a : one of a pair of angles inside the two intersected lines. — called also alternate interior angle.

Which pair of angles are alternate exterior angles Brainly?

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Exterior Angles: a and h.

Which angle is an alternate exterior angle to ∠ 8?

∠8 is on the outside of the bottom parallel line, and to the right of the transversal. That means ∠1 is its alternate exterior angle partner. The Alternate Exterior Angles Theorem tells us it is also 130° !

Is alternate exterior angles equal?

Alternate Angles Theorem



Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.

Are alternate exterior angles vertical?

One way to identify alternate exterior angles is to see that they are the vertical angles of the alternate interior angles. Alternate exterior angles are equal to one another. When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Which angles are exterior angles?

Exterior angles are defined as the angles formed between the side of the polygon and the extended adjacent side of the polygon.

Does alternate exterior angles form a linear pair?

Alternate Exterior Angles



1. It forms a linear pair at the same side of the transversal. 2. It forms a linear pair with its alternate exterior angle at the opposite side of the transversal.