Relationships Between Angles

Alternate Interior Angles

Angles on opposite sides of a transversal and inside the two lines it intersects.

Example

In these figures, angles 3 and 5 are alternate interior angles.

       

When lines are parallel, such as lines d and e, the alternate interior angles are congruent. In the figure on the right angles 4 and 6 have the same measure, as lines d and e are parallel. These angles are congruent.

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