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Answer:

Using the figure below, state the transversal that forms each pair of angles. Then identify the special name for the angle pair. 9) 21 and 212 transversal = r ...

Step-by-step explanation:

11. <2 and <12 are formed by transversal c. Special name is alternate interior angles

12. <6 and <18 are formed by transversal d. Special name is corresponding angles.

13. <13 and <19 are formed by transversal b. Special name is alternate exterior angles

14. <11 and <7 are formed by transversal c. Special name is consecutive interior angles

Recall:

  • A transversal is a line that intercepts two straight lines
  • Special angle pairs are formed when a transversal intercepts two straight lines

Let's identify the transversal that forms the given pair of angles and the special name given to each pair:

  • <2 and <12:

They are formed by transversal a

Special name for <2 and <12 is alternate interior angles (they lie opposite each other along the transversal)

  • <6 and <18:

They are formed by transversal d

Special name for <6 and <18 is corresponding angles (they lie on same corner along the transversal)

  • <13 and <19:

They are formed by transversal b

Special name for <13 and <19 is alternate exterior angles (they lie outside the lines that the transversal intercepts)

  • <11 and <7:

They are formed by transversal c

Special name for <11 and <7 is consecutive interior angles (they lie inside the lines along the same side of the transversal)

Thus, transversal that form each of the given pair of angles as well as the identified special name given to each pair are:

  • <2 and <12 are formed by transversal c. Special name is alternate interior angles
  • <6 and <18 are formed by transversal d. Special name is corresponding angles
  • <13 and <19 are formed by transversal b. Special name is alternate exterior angles
  • <11 and <7 are formed by transversal c. Special name is consecutive interior angles

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