## OpenSessame 2 years ago Line AB is tangent to the circle at B. m<A = 14 and mBC=112 a. Find x. b. Find y.

1. OpenSessame

2. mathstudent55

|dw:1377144471353:dw|

3. OpenSessame

\[14=.5(112-X)\] Is that how i would do it?

4. OpenSessame

Or \[14=.5(x-112)\]

5. mathstudent55

The first one.

6. OpenSessame

Okay...So 84?

7. mathstudent55

|dw:1377145019880:dw|

8. mathstudent55

Yes

9. OpenSessame

is 84 X? i feel like im missing something..

10. mathstudent55

Yes, x = 84. Now you still need y.

11. OpenSessame

i wouldnt use the same theorem right?

12. mathstudent55

No. This a different case. You need a different theorem for this one.

13. mathstudent55

y is the measure of an angle. It is not a length. Perimeter or circumference is a length.

14. OpenSessame

Okay...So then I'm clueless.

15. mathstudent55

An angle formed by a tangent and a chord that intersect on the circle is half the measure of the intercepted arc.

16. OpenSessame

Right!

17. mathstudent55

|dw:1377145667642:dw|

18. OpenSessame

But we need to find the arc...right?

19. mathstudent55

What is the degree measure of arc CD?

20. mathstudent55

What is the degree measure of an entire circle as an arc?

21. OpenSessame

360

22. mathstudent55

Right. Which parts of the circle below do you know the measures of? |dw:1377145802550:dw|

23. OpenSessame

SO 360-112-84

24. OpenSessame

164?

25. mathstudent55

|dw:1377145885955:dw|

26. OpenSessame

So 164, right?

27. mathstudent55

Correct. Now you need half of that for y.

28. OpenSessame

82!

29. mathstudent55

Bingo!

30. OpenSessame

Thank you!

31. mathstudent55

You deserve a medal.

32. mathstudent55

wlcm

33. OpenSessame

I just need someone to guide me threw the first couple of times then i start getting it lol

34. mathstudent55

That's the whole idea of studying and having a teacher or a tutor.

35. OpenSessame

Do you know anything about probability distribution?And Im studying online, so i miss out on that just a little bit!

36. mathstudent55

No, sorry, probability is not my thing.

37. OpenSessame

38. mathstudent55

wlcm

39. OpenSessame

Thanks to you and @Directrix I understand geometry!

40. mathstudent55

That's great, thanks. Keep asking questions. That's how you learn. You can tag me any time. If I'm not on, I'll see it the next time I'm on, and if you didn't get any response yet, I'll try to help.