 ## ← Figuring out angles between transversal and parallel lines

• 1 Follower
• 51 Lines

### Get Embed Code x Embed video Use the following code to embed this video. See our usage guide for more details on embedding. Paste this in your document somewhere (closest to the closing body tag is preferable): ```<script type="text/javascript" src='https://amara.org/embedder-iframe'></script> ``` Paste this inside your HTML body, where you want to include the widget: ```<div class="amara-embed" data-url="http://www.youtube.com/watch?v=2WjGD3LZEWo" data-team="null"></div> ``` 14 Languages

• английски език [en] оригинал
• български език [bg]
• чешки език [cs]
• датски език [da]
• японски език [ja]
• грузински език [ka]
• Корейски [ko]
• Монголски [mn]
• Бурмесе [my]
• Norwegian Bokmal [nb]
• Portuguese, Brazilian [pt-br]
• словашки език [sk]
• сръбски език [sr]
• украински език [uk]

Showing Revision 1 created 04/05/2014 by Report Bot.

1. Let's say that we have
two parallel lines.
2. So that's one line
right over there,
3. and then this is
the other line that
4. is parallel to the first one.
5. I'll draw it as
parallel as I can.
6. So these two lines are parallel.
7. This is the symbol
right over here
8. to show that these two
lines are parallel.
9. And then let me draw
a transversal here.
10. So let me draw a transversal.
11. This is also a line.
12. Now, let's say that we know
that this angle right over here
13. is 110 degrees.
14. What other angles can
we figure out here?
15. Well, the first thing
that we might realize
16. is that, look, corresponding
angles are equivalent.
17. This angle, the angle
between this parallel line
18. and the transversal,
is going to be
19. the same as the angle
between this parallel line
20. and the transversal.
21. So this right over here is
also going to be 110 degrees.
22. Now, we also know that
vertical angles are equivalent.
23. So if this is 110
degrees, then this angle
24. right over here on the opposite
side of the intersection
25. is also going to be 110 degrees.
26. And we could use that
same logic right over here
27. to say that if this
is 110 degrees,
28. then this is also 110 degrees.
29. We could've also
said that, look,
30. this angle right over here
corresponds to this angle
31. right over here so that they
also will have to be the same.
these other angles?
33. So this angle right over
here, its outside ray,
34. I guess you could
say, forms a line
35. with this angle right over here.
36. This pink angle is supplementary
to this 110 degree angle.
37. So this pink angle plus 110
is going to be equal to 180.
38. Or we know that this pink angle
is going to be 70 degrees.
39. And then we know that it's a
vertical angle with this angle
40. right over here, so
this is also 70 degrees.
41. This angle that's kind of
right below this parallel line
42. with the transversal, the bottom
left, I guess you could say,
43. corresponds to this bottom
left angle right over here.
44. So this is also 70 degrees.
45. And we could've also
figured that out by saying,
46. hey, this angle is supplementary
to this angle right over here.
47. And then we could use
multiple arguments.
48. The vertical angle argument,
the supplementary argument two
49. ways, or the corresponding
angle argument to say that,
50. hey, this must be
70 degrees as well.