Theorems for Parallel Lines and Perpendicular Lines

Given that the measure of angle 6 + measure of angle 7 = 180, which postulate or theorem justifies that line l is parallel to line m?        

•  a.  Consecutive Interior Angles Theorem
•  b.  Corresponding Angles Postulate 
• c.  Alternate Exterior Angles Theorem 
• d.   Alternate Interior Angles Theorem

• A
• B
• C
• D

Identify a segment parallel to CD

• AB
• AE
• EF
• BC

Which segment is skew to DE

• AB
• BC
• BD
• CD

4. Angle1 and angle 8 are what type of angles.

• a. alternate exterior

• b. alternate interior

• c. consecutive interior

• d. corresponding

5. angle 3 and angle 7 are what types of angles.          

• a.  alternate exterior
• d.  corresponding
•  b.  alternate interior 
• c.  consecutive interior 

6. Given that line a and line b are parallel to each other, and the measure of angle 2 = 65, find the measure of angle 6.

• a.  25
• b.  65
• c.  115
• d.  140

 Given that line a is parallel to line b, the measure of angle 3 = 5x + 10, and the measure of angle 5 = 3x + 10, find the value of x.        

• c.  20
• b.  70
• d.  2.5
• a.  180

• A
• B
• C
• D

If the measure of angle 2 = 6x + 8 and the measure of angle 6 = 8x – 6, find the value of x so that line l is parallel to line m.      

• b.  1   
• c.  7
• d.  13
•  a.  –7