Parallel Lines Cut by a Transversal

Learn angle relationships formed by parallel lines and transversals! Practice identifying and calculating angle measures.

Section 1Use the diagram below to answer the following questions.Refer back to the video if you need to. 1. Corresponding angles are congruent (or equal) angles located in the same position, relative to the parallel lines and the transversal. A pair of corresponding angles is 2 and 3 5 and 7 1 and 5 3 and 6 2. Vertical angles are the non-adjacent angles formed from the intersection of parallel lines. A pair of vertical angles is 3 and 4 6 and 8 1 and 2 3 and 5 3. Alternate Interior Angles are congruent (or equal) angles that are inside(in between) the parallel lines and on alternate (or opposite) sides of the transversal. A pair of alternate interior angles is 3 and 4 4 and 5 3 and 6 4 and 6 4. Alternate Exterior Angles are angles that are outside (above or below) the parallel lines and on alternate (or opposite) sides of the transversal. A pair of alternate exterior angles is 1 and 7 1 and 8 3 and 5 2 and 5 5. Supplementary angles are angles whose sum is 180 degrees. In the specific case of Parallel Lines cut by a Transversal, they are usually not equal in measure. A pair of supplementary angles is 1 and 3 1 and 4 1 and 5 1 and 8 Section 2Matching Angles Match each angle name to the appropriate picture Vertical Angels Corresponding Angles Alternate Interior Angles Alternate Exterior Angles Supplementary Angles Section 3The measure of angle 10 is 95 degrees. Use the following diagram to find the measure of the remaining angles. (It may be helpful to draw the diagram on a separate sheet of paper.) 6. Find the measure of angle 14. 95degrees 7. Find the measure of angle 16. 95degrees 8. Find the measure of angle 12. 95degrees 9. Find the measure of angle 9. 85degrees