## KatherinePierce1864 2 years ago 1. Which angle is congruent to 1? (1 point) <2<- <5 <6 <7 2. Which can be used to directly prove that <1 <8? (1 point) Alternate Interior Angles Theorem Corresponding Angles Postulate Same-Side Interior Angles Theorem Alternate Exterior Angles Theorem 3. If m<5 = 42o, what is m<4? (1 point) 42o<- 48o 128o 138o

1. KatherinePierce1864

2. ParthKohli

1. Corresponding angles

3. KatherinePierce1864

@ParthKohli does that mean my other answers are right?

4. lgbasallote

number 1 is wrong.. <1 and <2 are supplementary...but they're not congruent

5. lgbasallote

remember the transversal law.. |dw:1349494407179:dw| the angles with one line are congruent to the angles with one line...angles with two lines are congruent to angles with two lines

6. lgbasallote

got it?

7. KatherinePierce1864

Yeah, I guess. I thought that question 1 was <7

8. lgbasallote

look closely at my drawing... these are the angles that are congruent |dw:1349494548934:dw|

9. lgbasallote

now.. angle 1 is here|dw:1349494584613:dw|

10. lgbasallote

so what angle do you think is congruent to it?

11. KatherinePierce1864

5?

12. lgbasallote

right

13. lgbasallote

that drawing is also applicable to your question 3

14. KatherinePierce1864

so 3 isnt 42?

15. lgbasallote

it is

16. KatherinePierce1864

Oh okay

17. lgbasallote

as for number 2..you can figure it out by looking at <1 and <8...if you notice, they are both OUTSIDE and on DIFFERENT SIDES do those capitalized words give you any hint?

18. KatherinePierce1864

does that mean there exterior?

19. lgbasallote

yes

20. KatherinePierce1864

@lgbasallote I have another problem, like the one above, do you think you can help me with that one as well??

21. lgbasallote

sure

22. KatherinePierce1864

4. What is the value of x? (1 point) 10o 25o 30o 120o 5. What is the measure of 1? (1 point) 45o 60o 120o 125o

23. lgbasallote

here's a hint 4x and x+ 30 are supplementary angles

24. lgbasallote

do you know what that means?

25. KatherinePierce1864

no, sry. do you mind explaining a bit more?

26. lgbasallote

supplementary angles means that if you add 4x and x + 30 you get 180

27. lgbasallote

so add 4x and x + 30 and set it equal to 180 then solve for x

28. lgbasallote

get the idea?

29. KatherinePierce1864

i think so

30. lgbasallote

wonderful

31. KatherinePierce1864

doesn't it come to 5x+30, or am I way off?

32. lgbasallote

yes it does

33. lgbasallote

now make it equal to 180 then solve for x

34. KatherinePierce1864

okay so wouldn't add 5 to 30 or times 30 by 5? hope that makes sense.

35. lgbasallote

5x + 30 = 180 solve for x

36. KatherinePierce1864

would a way to solve the problem be by taking 30 away frm 180 then dividing by that number by 5?

37. lgbasallote

right

38. KatherinePierce1864

x=30

39. lgbasallote

right

40. KatherinePierce1864

okay, what about the next question?

41. lgbasallote

you already have the value of x..so just substitute that to x + 30

42. KatherinePierce1864

Oh right, so 60 then.

43. lgbasallote

right

44. KatherinePierce1864

okay, thank you so much!

45. lgbasallote

welcome

46. KatherinePierce1864

actually the answer was 120 for the last question. :p does that make sense to you?

47. lgbasallote

....sorry i thought 1 was at x + 30

48. lgbasallote

it seems 1 is the supplement of x + 30 so you have to subtract 60 from 180

49. KatherinePierce1864

oh okay. Now I know and its okay. I still got a 80% on the test so its cool.