Find the measures of all of the lines numbered 1 through 12

1. 75°

2. 55°

3. 50°

4. 75°

5. 55°

6. 130°

7. 50°

8. 130°

9. 50°

10. 105°

11. 75°

12. 105°

Step-by-step explanation:

1. Vertically opposite angles are equal (based on 4.)

2. Vertically opposite angles are equal (based on 5.)

3. Vertically opposite angles are equal.

4. Alternate angles are equal.

5. Sum of angles in a triangle is 180° (based on 7.)

6. Corresponding angles add up to 180°

7. Alternate angles are equal.

8. Vertically opposite angles are equal (based on 6.)

9. Vertically opposite angles are equal. (based on 7.)

10. Corresponding angles add up to 180° (based on 4.)

11. Vertically opposite angles are equal.

12. Vertically opposite angles are equal (based on 10.)