see below
Step-by-step explanation:
5.  9x + 2 = 119°           alternate interior angles are congruent
     9x = 117
      x = 13°
6.  12x - 8 + 104° = 180°    same side interior angles are supplementary
      12x + 96 = 180
           12x = 84
            x = 7°
7. Â 5x + 7 = 8x - 71 Â Â Â Â Â Â Â Â alternate exterior angles are congruent
     -3x = -78
      x = 26°
8. Â 4x - 7 = 7x - 61 Â Â Â Â Â Â Â Â corresponding angles are congruent
    -3x = -54
     x = 18°
9. Â 9x + 25 = 13x - 19 Â Â Â Â Â corresponding angles are congruent
      -4x = -44
        x = 11°
  13x - 19 + 17y + 5 = 180°     straight line adds up to 180°
  13(11) - 19 + 17y + 5 = 180
    143 - 19 + 17y + 5 = 180
          17y + 129 = 180
               17y = 51
                 y = 3°
10.  6x - 7 + 3x - 29 = 180°   same side interior angles are supplementary
          9x - 36 = 180
              9x = 216
               x = 24°
   6x - 7 = 8y + 17          vertical angles are congruent
   6(24) - 7 = 8y + 17
     144 - 7 = 8y + 17
        137 = 8y + 17
        120 = 8y
         y = 15°
11. Â 49 + 3x = 7x - 23 Â Â Â Â Â Â Â Â corresponding angles are congruent
      -4x = -72
        x = 18°
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   3x = 11y - 1             corresponding angles are congruent
   3(18) = 11y - 1   Â
     54 = 11y - 1
     55 = 11y
      y = 5°
12. Â 5x - 38 = 3x - 4 Â Â Â Â Â Â Â Â alternate interior angles are congruent
       2x = 34
        x = 17°
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   7y - 20 + 5x - 38 + 90 = 180°     sum of triangle interior angle equals 180
   7y - 20 + 5(17) - 38 + 90 = 180°   Â
   7y - 20 + 85 - 38 + 90 = 180°  Â
               7y + 117 = 180
                   7y = 63
                    y = 9°