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Alternate exterior angles are those angles that have different vertices, they lie on the alternate sides of the transversal and are exterior to the lines. When are Alternate Exterior Angles Congruent? Alternate Exterior angles are congruent only when the two lines that are intersected by a transversal are parallel.
- Exterior Angle Theorem
Exterior Angle Theorem. The exterior angle theorem states...
- Exterior Angle Theorem
Alternate exterior angles theorem is used to prove that two lines are parallel to each other. If the lines are not parallel, the alternate exterior angles are not congruent and do not have any relationship.
Learn about Alternate Exterior Angles: When two lines are crossed by another line (called the Transversal), 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.
The alternate exterior angles theorem states that if a transversal cuts two parallel lines, the pairs of exterior angles formed are congruent. In the figure below, transversal l intersects lines m and n forming 8 angles. The pairs of alternate exterior angles are ∠1 and ∠7 and ∠4 and ∠6.
26 Ιαν 2023 · When two lines are parallel, the transversal creates congruent alternate exterior angles. The Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
The theorem of alternate exterior angles states that when two parallel lines are crossed by a transversal line, the alternate exterior angles are congruent. This means that the two angles have the same measure.
3 Αυγ 2023 · Two alternate exterior angles are (2x – 14)° and (x + 4)° Prove whether the two exterior angles are congruent. Solution: According to the exterior angle theorem, alternate exterior angles are equal when the transversal crosses two parallel lines.
