1) The angles 3x - 5 and 4x - 29 are alternate interior angles, so they are congruent:

2) The angles 10x and 5x are interior angles on the same side of the transversal (5x and 12y are as well), so they are supplementary angles:

3) The angles 3x - 13 and 2x + 7 are alternate exterior angles, so they are congruent:

4) The angles 14x - 56 and 6x are corresponding angles, so they are congruent:

5) The angles 5x + 8 and 12x + 2 are exterior angles on the same side of the transversal, so they are supplementary:

6) The angles 5x + 25 and 3x - 5 are interior angles on the same side of the transversal, so they are supplementary angles:

7) The angles 5x + 2 and 2x + 10 are interior angles on the same side of the transversal (2x + 10 and 4y + 8 are as well), so they are supplementary angles:

8) The angles 6x + 54 and 90 are alternate exterior angles, so they are congruent:

9) The angle 7x + 19 is corresponding to the angle supplementary to 4x - 15, so these angles are also supplementary:

10) The angles 3x + 19 and 7x - 9 are vertically opposite angles, so they are congruent:
