1. Unit 1 Test RETAKES on TUESDAY!
10/25: Apply angle-pair theorems from properties of parallel lines to find missing angle measures.
Do Now:
Have Out:
- Foldable
- Today’s Handouts
Begin your DO NOW!
Agenda:
DO NOW! & Review
Exploration 1 Exploration 2 IP
EXIT TICKET!
Homework
Unit 1 Test RETAKES on TUESDAY!
STUDY AND/OR SEE ME!
1st Period

2. Can you identify the old angle-pairs we have learned?
Warm-Up Answers
6 and 10
Same-Side Interior Angles
Vertical Angles
Corresponding Angles
Alternate Exterior Angles
Corresponding Angles
Same-Side Interior Angles
Vertical Angles
Linear Pair
Can you identify the old angle-pairs we have learned?

3. Warm-Up Answers ∠2 & ∠7 ∠3 & ∠6 ∠1 & ∠8 ∠5 & ∠4 ∠2 & ∠3 ∠6 & ∠7
∠1 & ∠3
∠2 & ∠4
∠1 & ∠6
∠2 & ∠5

4. We will learn to: - Apply angle-pair theorems from properties of parallel lines to find missing angle measures.

5. What are the 4 old angle-pairs we have talked about?
Complementary Angles
Supplementary Angles
Linear Pair
Vertical Angles
Let’s add these to our foldable 

6. _________________________ See below for angle measures
Exploration 1: Name the angle pair. Use a protractor to give the measure of each angle.
127⁰
53⁰
53⁰
127⁰
136⁰
44⁰
44⁰
136⁰

7. Alternate Interior Angles
Linear Pair
127⁰ 53⁰
127⁰ 127⁰
127⁰ ⁰
127⁰ ⁰
53⁰ 44⁰
Vertical Angles
Corresponding Angles
Same-Side Interior Angles
Alternate Interior Angles
Alternate Exterior Angles

8. See below for angle measures
Exploration 2: Use a protractor to find measure of each angle and label it on the diagram below. Then fill in the table.
126⁰
54⁰
54⁰
126⁰
126⁰
54⁰
54⁰
126⁰

9. Linear Pair Supplementary Vertical Angles Congruent Congruent
126⁰ ⁰
126⁰ ⁰
126⁰ ⁰
54⁰ ⁰
54⁰ ⁰
Vertical Angles
Congruent
Corresponding Angles
Congruent
Same-Side Interior Angles
Supplementary
Alternate Interior Angles
Congruent
Alternate Exterior Angles
Congruent

10. Summary Question:
Do the lines above have to be parallel in order for you to identify an angle-pair?
No, angle-pairs exist when two lines (parallel or not parallel) are cut by a transversal.

11. Summary Question:
Do the lines have to be parallel for the measurement relationships to exist?
Yes, in order to find ALL missing angle measures, the lines must first be parallel.

12. = Can Apply Theorems/Postulate
Example A:  
Double Arrow
= || Lines
= Can Apply Theorems/Postulate
If parallel lines are cut by a transversal, then all angle pairs are either ____________ or ______________.
congruent
supplementary

13. ∠1 ≅∠3 ∠1 and ∠8 ∠2 ≅∠6 ∠7 and ∠6 ∠1 ≅∠7 ∠8 ≅∠4 Theorems / Postulate
Vertical Angles Theorem
∠1 and ∠8
∠7 and ∠6
Same-Side Interior Angles Theorem
Alternate Exterior Angles Theorem
Linear Pair
Corresponding Angles Postulate
Alternate Interior Angles Theorem

14. Possible when given || Lines
Example B:  If m∠2 = 96°, then find the measures of each angle below if possible.
Possible when given || Lines
84⁰
Linear pair
84⁰
Vertical Angles Theorem
96⁰
Linear pair
84⁰
Alternate Interior Angles Theorem
96⁰
Corresponding Angles Postulate
96⁰
Alternate Exterior Angles Theorem
84⁰
Alternate Exterior Angles Theorem