3C Parallel Lines and Angles

You should have a piece of work paper.

Title the paper Assignment 2C.

You will need to sketch diagrams, highlight parts of the diagrams, perform algebra,and then answer the question.

If you miss the problem, copy it down exactly and redo it.

After grading and correcting your work you will post a scan in the form of a PDF (not a picture) to Google Classroom.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Given A||B

If the  $m\angle7\ =\ 115\degree,$  find  $m\angle2.$  

•  $115\degree$  

•  $65\degree$  

•  $180\degree$  

• Cannot be determined

Answer explanation

 $\angle7\ and\ \angle2$ are alternate exterior angles of parallel lines cut by a transversal and therefore are equal in measure.

Tags

CCSS.8.G.A.5

Given A||B

Find the value of x if the  $m\angle1\ =\ 12x+19\degree$ and the  $m\angle2\ =\ 22x-9\degree$ .

• -2.8

• 2.8

• -5

• 5

Tags

CCSS.8.G.A.5

Line A and Line B are parallel.

Which of the following is NOT an example of supplementary angles?

•  $\angle7\ and\ \angle8$  

•  $\angle2\ and\ \angle3$  

•  $\angle1\ and\ \angle7$  

•  $\angle6\ and\ \angle4$  

Tags

CCSS.7.G.B.5

Given A||B

Find the value of x if the  $m\angle1\ =\ 11x\ -\ 9\degree$ and the  $m\angle5\ =\ 7x\ +9\degree$ .

• -4.5

• 4.5

• 1

• 0

Tags

CCSS.8.G.A.5

Which are corresponding angles?

•  $\angle8\ and\ \angle4$  

•  $\angle5\ and\ \angle7$  

•  $\angle1\ and\ \angle7$  

•  $\angle3\ and\ \angle5$  

Tags

CCSS.8.G.A.5

Given A||B

Find the value of x if the  $m\angle3\ =\ -4x+5\degree$ and the  $m\angle5\ =\ -13x+39\degree$ .

• -3.8

• 3.8

• -8

• 8

Tags

CCSS.8.G.A.5

Angle 6 and Angle 7 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Tags

CCSS.8.G.A.5

Given A||B

If the  $m\angle1\ =\ 57\degree,$  find the measure of  $\angle6.$  

•  $123\degree$  

•  $57\degree$  

•  $180\degree$  

• Cannot be determined

Answer explanation

 $\angle1\ and\ \angle6$  do not have a named pairing . However the two angles are supplementary.

Tags

CCSS.8.G.A.5

Angle 3 and Angle 6 are examples of which type of angle pair?

• Alternate exterior angles

• Alternate interior angles

• Vertical angles

• Corresponding angles

Tags

CCSS.8.G.A.5