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ANSWERS:

Angle Relationship:

  1. Same Side Exterior Angles
  2. Alternate Interior Angles
  3. Corresponding Angles
  4. Alternate Exterior Angles
  5. Consecutive Angles or Same Side Interior Angles
  6. Corresponding Angles, Alternate Exterior Angles and Vertical Angles
  7. Consecutive Angles or Same Side Interior Angles
  8. Linear Pair, Alternate Interior Angles and Consecutive Angles or Same Side Interior Angles
  9. Corresponding Angles, Alternate Exterior Angles and Vertical Angles

Value of the Variable:

  1. [tex] \boxed{\tt a = 180 \degree - 121 \degree = 59 \degree}[/tex]
  2. [tex] \boxed{\tt b= 37 \degree }[/tex]
  3. [tex]\boxed{ \tt c= 85 \degree} [/tex]
  4. [tex] \boxed{\tt d= 128\degree} [/tex]
  5. [tex]\boxed{ \tt e = 180 \degree - 90 \degree = 90 \degree}[/tex]
  6. [tex]\boxed{ \tt f = 83 \degree} [/tex]
  7. [tex] \boxed{\tt g = 180 \degree - 85 \degree = 95 \degree}[/tex]
  8. [tex] \boxed{\tt h = 180 \degree - 67 \degree = 113 \degree}[/tex]
  9. [tex]\boxed{ \tt i= 121 \degree} [/tex]