1. Parallel lines & algebra
Parallel Lines Lesson 2

2. Math Talk: Can you figure this out?

3. Alternate Exterior Angles
Congruent
𝟖𝒙+𝟏𝟗=𝟏𝟑𝟗
𝟖𝒙=𝟏𝟐𝟎
𝒙=𝟏𝟓

4. Consecutive Interior Angles
Supplementary
𝟔𝒙+𝟐+𝟏𝟏𝒙−𝟗=𝟏𝟖𝟎
𝟏𝟕𝒙−𝟕=𝟏𝟖𝟎
𝟏𝟕𝒙=𝟏𝟖𝟕
𝒙=𝟏𝟏

5. Alternate Interior Angles
Congruent
𝟏𝟓𝒙−𝟐𝟕=𝟏𝟏𝒙+𝟏𝟑
𝟒𝒙−𝟐𝟕=𝟏𝟑
𝟒𝒙=𝟒𝟎
𝒙=𝟏𝟎

6. Corresponding Angles Congruent
𝟗𝒙−𝟐𝟎=𝟕𝒙+𝟏𝟖
𝟐𝒙−𝟐𝟎=𝟏𝟖
𝟐𝒙=𝟑𝟖
𝒙=𝟏𝟗

7. Alternate Exterior Angles
Find the measure of angle 1.
Alternate Exterior Angles
Vertical Angles
= Congruent
= Congruent
𝟔𝒙+𝟐=𝒎∠𝟏
𝟔(𝟏𝟕)+𝟐=𝒎∠𝟏
𝟏𝟎𝟒°=𝒎∠𝟏
𝟔𝒙+𝟐=𝟖𝒙−𝟑𝟐
𝟐=𝟐𝒙−𝟑𝟐
𝟑𝟒=𝟐𝒙
𝟏𝟕=𝒙

8. Consecutive Interior Angles
Find the measure of angle 1.
Consecutive Interior Angles
Linear Pair
= Supplementary
= Supplementary
𝟗𝒙+𝟕+𝒎∠𝟏=𝟏𝟖𝟎
𝟗(𝟏𝟔)+𝟕+𝒎∠𝟏=𝟏𝟖𝟎
𝟏𝟓𝟏+𝒎∠𝟏=𝟏𝟖𝟎
𝒎∠𝟏=𝟐𝟗°
𝟐𝒙−𝟑+𝟗𝒙+𝟕=𝟏𝟖𝟎
𝟏𝟏𝒙+𝟒=𝟏𝟖𝟎
𝟏𝟏𝒙=𝟏𝟕𝟔
𝒙=𝟏𝟔

9. Corresponding Angles = Congruent
𝒎∠𝑪𝑩𝑬=𝟏𝟒𝒙+𝟏𝟕
𝒎∠𝑪𝑩𝑬=𝟏𝟒(𝟖)+𝟏𝟕
𝒎∠𝑪𝑩𝑬=𝟏𝟐𝟗°
𝟏𝟒𝒙+𝟏𝟕=𝟏𝟗𝒙−𝟐𝟑
𝟏𝟕=𝟓𝒙−𝟐𝟑
𝟒𝟎=𝟓𝒙
𝟖=𝒙

10. Consecutive Interior Angles
𝟏𝟏𝟗°
𝟏𝟏𝟗°
𝟔𝟏°
𝟔𝟏°
𝟏𝟏𝟗°
𝟏𝟏𝟗°
𝟔𝟏°
𝟔𝟏°
Consecutive Interior Angles
= Supplementary
𝒎∠𝟔=𝟖 𝟖 −𝟑
𝒎∠𝟔=𝟔𝟏°
𝒎∠𝟕=𝟏𝟓 𝟖 −𝟏
𝒎∠𝟔=𝟏𝟏𝟗°
𝟖𝒙−𝟑+𝟏𝟓𝒙−𝟏=𝟏𝟖𝟎
𝟐𝟑𝒙−𝟒=𝟏𝟖𝟎
𝟐𝟑𝒙=𝟏𝟖𝟒
𝒙=𝟖

11. Hint: There are 3 transversals.
Bonus Question