Given: Lines AB and CD are parallel lines on a transversal M. Let us see how they are congruent (equal). The alternate exterior angle theorem states "if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure."įollowing the same figure given above, we can observe that ∠1 and ∠7 ∠2 and ∠8 are pairs of alternate exterior angles. They are placed on the opposite sides of the transversal.Both lie on the exterior side of the lines and.In the figure, we can observe that the pairs ∠1 & ∠7 and ∠2 & ∠8 are alternate exterior angles because: Two exterior angles that lie on two different lines cut by a transversal and are placed on opposite sides of the transversal are called alternate exterior angles. Therefore, the pair of angles that satisfy these conditions are called alternate exterior angles.Īccording to the figure, we can define alternate exterior angles as:
The same rule applies to the other pair of angles (∠1 and ∠7).
Interior angles are created in the space inside the parallel lines whereas alternate exterior angles are created in the space outside the parallel lines. When any two parallel lines are intersected by a transversal, they create some pairs of angles with the transversal. Alternate exterior angles are angles that are formed on the outer side of the transversal on the different sides.
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