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!!!:

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 1 2 j 3 4 5 6 k 7 8

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

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°  

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°  

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°  

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°  

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 1 2 j 3 4 5 6 k 7 8

Lesson 3: Finding Angle Measures Find y if m/ 5 = 3y – 2 and m/ 3 = 68. Then find the measure of each angle. t 1 2 j 3 4 5 6 k 7 8

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

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.

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