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Angle Relationships with Parallel Lines and Transversals

Discover how to solve for missing angles with parallel lines intersected by a transversal. Learn about corresponding angles, alternate interior and exterior angles, consecutive interior angles, and more. Practice finding angle measures in varied scenarios.

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Angle Relationships with Parallel Lines and Transversals

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  1. Parallel lines cut by a transversal Goal: I will be able to solve for missing angles when two parallel lines are cut by a transversal using angle relationships.

  2. transversal – a line that intersects two or more coplanar lines at different points no transversal

  3. 2 1 2 1 4 3 4 3 6 5 6 5 7 8 7 8 Corresponding angles are congruent corresponding angles Occupy the same positions on a different line when cut by a transversal

  4. Alternate interior angles are congruent alternate interior angles Lie on the inside of the parallel lines, but opposite sides of the transversal

  5. 2 2 1 1 7 7 8 8 Alternate exterior angles are congruent 4 3 6 5 alternate exterior angles Lie on the outside of the parallel lines, but opposite sides of the transversal

  6. 4 3 6 5 Consecutive interior angles add up to 180 2 1 4 3 6 5 7 8 Consecutive interior angles Lie on the inside of the parallel lines but on on same side of transversal

  7. 1 2 3 4 6 5 7 8 m<1=120° Find all the remaining angle measures. 120° 60° 120° 60° 120° 60° 120° 60° Let’s Practice

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