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clairebear11213
5. We can see that angle a is the same angle as the 130° angle, since they form a Z. The same goes for b and 65°. a° = 130°, b° = 65°

6. With the same Z angles, b° = 56°. Because the angles are parallel, a° = 124°

7. Because the angles are parallel, b° = 83°, and a° = 132°

8. Because the angles are Z angles, a° = 74°. Because a° and b° are supplementary angles, b° = 180° - 74° = 106°. Because c° and 74° are supplementary angles, c° = 180° - 74° = 106°. Because d° and 65° are parallel angles, d° = 65°. Because d° and e° are opposite angles, e° = 65°
sqdancefan
Rules for transversals:
  Alternate interior angles are equal.
  Alternate exterior angles are equal.
  Corresponding angles are equal.
And for any geometry:
  Angles of a linear pair are supplementary.
  Vertical angles are equal.

5) a° and 130° are alternate interior angles, so a = 130
    b° and 65° are alternate interior angles, so b = 65

6) a° and 124° are corresponding angles, so a = 124
    b° and 56° are alternate interior angles, so b = 56

7) a° and 132° are corresponding angles, so a = 132
    b° and 83° are corresponding angles, so b = 83

8) a° and 74° are alternate interior angles, so a = 74
    b° and a° form a linear pair, so b = 180-74 = 106
    c° and b° are corresponding angles, so c = 106
    d° and 65° are corresponding angles, so d = 65

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