Section 3.2 Parallel Lines and Transversals Learning Goal: Students will identify congruent angles associated with parallel lines and transversals and use the information to find x and solve real life problems

Theorems Corresponding Angle Theorem: If 2 parallel lines are cut by a transversal, the the pairs of angles are _________________ Alternate Interior Angles Theorem: If 2 parallel lines are cut by a transversal, then the pair of alternate interior angles are ____________ Alternate Exterior Angles Theorem: If 2 parallel lines are cut by a transversal, then the pairs of alternate exterior angles are _____________ Consecutive Interior Angles Theorem: If 2 parallel lines are cut by a transversal, the pairs of consecutive angles are ___________________

Example 1: The measure of three of the numbered angles are 120 degrees. Identify the angles. Explain your reasoning. Example 2: Find the value of x. A)B)

Example 4: Example 5: Find x and y