Question

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

Answer 1

1: 75 because they are corresponding angle
6: 130 angles in a co interior must add up to 180
9: 50 because corresponding angles and angles on a straight line add up to 180
8: 130 because it is opposite angles with 6 and they are equal
7: 50 because it is alternate to the 50 degrees
3: corresponds to 7 so it is 50 degrees
2: 55 because you have to add angles 1 and 3 which give 125 and subtract it from 180
10: correspondent to angles 2 and 3 so add them together to give 105
4: 75 because co interior angle with 10 has to add up to 180
5: angle 4 and 5 must add up to 8 since they are corresponding angles. So..., 8 is 130 degrees and 4 is 75 degrees therefore 130 - 75 = 55 degrees


Hope this helps and have a nice day! :)

Answer 2

Answer:

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.)