1. 3.2 BUILDING ON 3.1…
Relationships for angle pairs of parallel lines with a transversal:
corresponding angles
alternate interior angles
alternate exterior angles
same-side interior angles (consecutive interior)
same-side exterior angles (consecutive exterior)

2. Theorem 3.1: Corresponding Angles Theorem
NOTE: Many textbooks state this as a postulate however this author argues that a parallel line is a rigid transformation and thus the angles are also a rigid transformation.

3. Example 1: Using the Corresponding Angles Postulate
Find each angle measure.
A. mECF
B. mDCE

4. Check It Out! Example 1
Find mQRS.

5. 3-2
3-3
3-4
║→ 2 supp 3
║→ 1 supp 4
ADD: ║→ CE Supp Proofs?

6. Example 2: Finding Angle Measures
Find each angle measure.
A. mEDG
B. mBDG

7. Check It Out! Example 2
Find mABD.

8. Example 3: Music Application
Find x and y in the diagram.

9. Lesson Quiz
State the theorem that is related to the measures of the angles in each pair. Then find the unknown angle measures.
1. m1 = 120°, m2 = (60x)°
2. m2 = (75x – 30)°,
m3 = (30x + 60)°
3. m3 = (50x + 20)°, m4= (100x – 80)°
4. m3 = (45x + 30)°, m5 = (25x + 10)°