Making algebra encyclopedically accessible

Lines and Transversals

By S Bay

Answer each question. Note that some diagrams are intentionally missing.

Directions and/or Common Information:

Lines ABC and Line DEF are parallel. A transversal EB intersects ABC and DEF.

Name an angle that is supplementary to angle CBE.

Name an alternate interior angle to angle CBE

Directions and/or Common Information:

Consider the diagram shown below to answer questions 3-6.

How many sets of corresponding angles are shown on the diagram?

How many sets of consecutive (same side interior) angles are shown on the diagram?

How many sets of alternate interior angles are shown on the diagram?

How many set of vertical angles are shown on the diagram?

Directions and/or Common Information:

Consider the diagram shown below to answer questions 7-10.

If angle 1 is 2x and angle 3 is 3x what is the value of x?

If angle 1 is (2x+3) and angle 5 is (x+10) what is the value of x?

If angle 2 is (4x+12) and the sum of the measures of angle 2 and angle 6 is 120, then what is the value of x?

If angle 3 is x² + 2 and angle 6 is 51 what is the value of x?