What is an example of alternate exterior angles?

Two angles that lie on opposite sides of the transversal and are placed on two different lines, both either inside the two lines or outside, are called alternate angles. In the given figure below, the alternate exterior angle pairs are 1 and 7; 2 and 8.

What are alternate angles with examples?

So, alternate angles are those angles that have different vertices and lie on the alternate sides of the transversal. The pairs of alternate angles in the above figure are: ∠3 and ∠5. ∠4 and ∠6.

How do you explain alternate exterior angles Theorem?

The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent . ∠1≅∠7 and ∠4≅∠6 .

What are alternate exterior angles always?

Alternate exterior angles are always congruent. If alternate exterior angles are congruent then lines are parallel. Alternate exterior angles are on the interior of two lines.

What is the definition of alternate exterior angles?

Alternate Exterior Angles Definition (Illustrated Mathematics Dictionary) Illustrated definition of Alternate Exterior Angles: When two lines are crossed by another line (the Transversal), a pair of angles on the outer side of those… Show Ads

When do you call a line an alternate angle?

Alternate Angle Definition. If a straight line intersects two or more parallel lines, then it is called a transversal line. When the coplanar lines are cut by a transversal, some angles are formed. Those angles are known as interior or exterior angles.

Which is the converse of the alternate exterior angles theorem?

The Converse of the Alternate Exterior Angles Theorem states that if alternate exterior angles of two lines crossed by a transversal are congruent, then the two lines are parallel.

Where are the alternate angles on a transversal?

The two angles are on alternate or opposite sides of the transversal and the exterior or outside of the two lines. You will always have two pairs of alternate exterior angles when you have two lines and a transversal. What happens when the two lines are parallel to each other?