Question

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Answer 1

Answer:

1. Alt. Exterior angles (c)

2. Supplementary angles (e)

3.Alt. Interior angles (a)

4. Vertical angles (d)

5. Corresponding angles (b)

6. None (f)

7. Supplementary angles (e)

8. Alt. Interior angles (a)

9. M∠3 = 97°      M∠5 = 97°  

   M∠10 = 97°     M∠7 = 83°

   M∠9 = 83°      M∠16 = 97°

10. x = 5

11. x = 8

12. x = 20

Step-by-step explanation:

a.) 1-8

Alt. Exterior angles: Angles that are on the opposite sides of the transversal ( ex. 9∠16 and 13∠12)

Alt. Interior angles: Angles that are in the area between the parallel lines ( ex. 14 ∠11 and 10∠15)

Vertical angles: A pair of opposite angles formed by intersecting lines. ( ex. 12∠15 and 9∠14)

Corresponding angles: Angles that are in the same position relative to lines intersected by a transversal (ex. 9∠11 and 14∠16)

Supplementary angles: 2 angles that sum up to 180° ( ex. 9∠10, 11∠15, and 13∠14)

b.) 9

M∠2 is 97° and M∠3 are vertical angles so they both will have the same degrees (97°)

M∠2 and M∠10 are corresponding angles so they also will have the same degrees (97°)

Since you know M∠10 is 97° and a straight line is 180.

you would subtract 97 to 180 (180-97 = 83) so M∠9 is 83°

c.) 10-12

This is kind of like simple algebra

You would take M∠8 (4x+57) and M∠4 (77) and just put it into a problem ->

4x+57=77

    -57 = 77

4x=20

20/4 = 5