1. aliceglass20

The picture shows a stand for keeping a synthesizer. The top surface of the stand is parallel to the base, as shown. Which expression about the angles p and q is correct?

2. aliceglass20

A: m<p=m<q

3. aliceglass20

B: m<q=180 degrees-m<p

4. aliceglass20

C: m<p=2(m<q)

5. aliceglass20

D: m<q=90 degrees-m<p

6. aliceglass20

The less than signs stand for angles.

7. monokerous

Which one do you think it is?

8. aliceglass20

No clueeeee.

9. monokerous

|dw:1346353885710:dw|

10. monokerous

11. aliceglass20

What does that do? isn't that the same picture as the one in the question?

12. monokerous

yes. I thought if I drew it out, it might look clearer.

13. aliceglass20

I just don't understand anything about the question D:

14. monokerous

15. monokerous

have you heard of corresponding angles?

16. aliceglass20

yes it was in my lesson but I forget what they really are.

17. monokerous

Let's take away the line so it's easier for you to see. |dw:1346354183326:dw|

18. monokerous

Corresponding angles: 'the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.'

19. aliceglass20

so it's not A?

20. monokerous

In this case, the corresponding angle of q would be... |dw:1346354360998:dw|

21. monokerous

no, <p does not equal to <q

22. monokerous

So not A.

23. monokerous

Do you understand the drawing?

24. aliceglass20

A little bit. I don't even understand what the answer choices mean.

25. monokerous

|dw:1346354465230:dw|

26. monokerous

A states that <p=<q . As an example, if <p=3° then <q=3°

27. aliceglass20

but aren't angles p and q different?

28. aliceglass20

so how do they both equal 3?

29. aliceglass20

would*

30. monokerous

B states that <q=180°-<p . As an example, if <p=3°, then the equation would be... <q=180°-3° =177°

31. monokerous

You are correct. angles p and q do not equal to each other so A cannot be the answer.

32. monokerous

Remember, 180°= line.

33. aliceglass20

what line?

34. monokerous

C states that <p=2(<q) You do not know for sure that <p is 2 times <q so you can disregard C. D states that <q=90°-<p

35. monokerous

a line is... |dw:1346354918557:dw|

36. aliceglass20

oh

37. monokerous

D and B are almost the same, except B is a line |dw:1346355007844:dw| and D states that <p+<q=90° which would be... |dw:1346355020286:dw| Something like that.

38. monokerous

So now that I've explained to you all your choices, which one do you think your answer is?

39. aliceglass20

b?...

40. monokerous

Yes.

41. aliceglass20

okay thank you! :)

42. monokerous

|dw:1346355172606:dw|

43. monokerous

you're welcome. I hope this has helped you understand the topic a little better.

44. aliceglass20

yes it has:) are you a teacher or something? haha.

45. monokerous

:) Great! Ha ha. No. :P

46. aliceglass20

okay well you're just super smart then lol.

47. monokerous

Ha ha. I'm far from it... But thanks! :P Just takes a lot of practice.