1. 5.5(b) Notes: Angles and Parallel Lines
Date:
5.5(b) Notes: Angles and Parallel Lines
Lesson Objective: Use theorems to determine the relationships between specific pairs of angles and use angles to find angle measurements.
CCSS: G.CO.1, 9
You will need: a pencil
Real-World App: How is a trellis supported?
This is Jeopardy!!!:

2. Lesson 1: Angles and Parallel Lines Recap
Draw lines j and k on parallel blue lines on your paper. Draw transversal t as shown. t j k

3. Consec. Int. / s Suppl: + = 180° + = 180°
Corr. / s :
Alt. Int. / s :
Alt. Ext. / s :
Consec. Int. / s Suppl: = 180°
= 180°

4. Consec. Int. / s Suppl: + = 180° + = 180°
Corr. / s : / 1 / 5, / 3 / 7, / 2 / 6, / 4 / 8
Alt. Int. / s :
Alt. Ext. / s :
Consec. Int. / s Suppl: = 180°
= 180°

5. Consec. Int. / s Suppl: + = 180° + = 180°
Corr. / s : / 1 / 5, / 3 / 7, / 2 / 6, / 4 / 8
Alt. Int. / s : / 3 / 6, / 4 / 5
Alt. Ext. / s :
Consec. Int. / s Suppl: = 180°
= 180°

6. Consec. Int. / s Suppl: + = 180° + = 180°
Corr. / s : / 1 / 5, / 3 / 7, / 2 / 6, / 4 / 8
Alt. Int. / s : / 3 / 6, / 4 / 5
Alt. Ext. / s : / 1 / 8, / 2 / 7
Consec. Int. / s Suppl: = 180°
= 180°

7. Consec. Int. / s Suppl: m/ 3 + m/ 5 = 180° m/ 4 + m/ 6 = 180°
Corr. / s : / 1 / 5, / 3 / 7, / 2 / 6, / 4 / 8
Alt. Int. / s : / 3 / 6, / 4 / 5
Alt. Ext. / s : / 1 / 8, / 2 / 7
Consec. Int. / s Suppl: m/ 3 + m/ 5 = 180°
m/ 4 + m/ 6 = 180°

8. Lesson 2: Finding Angle Measures
If m/ 2 = 4x + 7 and m/ 7 = 5x – 13, find x. Then find the measure of each angle. t j k

9. Lesson 3: Finding Angle Measures
Find y if m/ 5 = 3y – 2 and m/ 3 = 68. Then find the measure of each angle. t j k

10. Lesson 4: Finding the Value of the Variables
Find the value of x and y.

11. 5.5(b): Do I Get It? Yes or No
If m/ 4 = 2x – 17 and m/ 1 = 85, find x.
Find y if m/ 7 = 4y + 30 and m/ 8 = 8y + 6.

12. 5.5(b): Do I Get It? Continued
3. Find the measure of each angle if m/ 11= 62 and m/ 14 = 38.