A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

becca9898

  • one year ago

In circle A shown below, Line BD is a diameter and the measure of Arc CB is 54°: What is the measure of ∠ DBC?

  • This Question is Closed
  1. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439250086914:dw|

  2. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439246526551:dw|

  3. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    54° 36° 27° 63° I think the answer is 27, but I am unsure

  4. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Are you sure the question is angle DBC? There is no angle DBC shown in your figure.

  5. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I am sure of it. Let me take a screenshot of the question

  6. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    We can find the answer. I just want to make sure we have the correct question.

  7. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439246714171:dw|

  8. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  9. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If this helps, here is the question :)

  10. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok. Notice my first drawing above. The measure of an inscribed angle is half the arc.

  11. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    They do tell you that BD is a diameter. Think of angle BAD. It is a straight angle. What is the measure of a straight angle?

  12. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Would I use the Inscribed Angle Theorem? I used DBC = 1/2 * 57

  13. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439246922903:dw|

  14. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think you meant 54 not 57, but that is still incorrect. What you did would be correct for angle BDC. You are being asked about angle DBC, though.

  15. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oops, yes I meant 54.

  16. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You need to find the arc that angle DBC intercepts.

  17. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439247095578:dw|

  18. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Angle DBC intercepts arc CD. Do you see that?

  19. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I see that.

  20. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now we need to find the measure of arc CD. Then angle DBC is half the measure of arc CD.

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1439257707805:dw|

  22. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    A diameter is made up of two radii. |dw:1439247250424:dw|

  23. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    What is the measure of the angle formed by two radii that are a diameter? Hint: think of a straight angle.

  24. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    180 degrees?

  25. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yes. A central angle intercepts an arc of the same measure.

  26. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439247397295:dw|

  27. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1439247431302:dw|

  28. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Arc BCD is intercepted by diameter BD. Diameter BD is a straight angle of 180 degrees, so arc BCD measures 180 degrees.

  29. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Arc BC measures 54 deg. Arc BCD measures 180 deg. What is the measure of arc CD?

  30. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    126?

  31. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Great. Now let's go back to this figure. |dw:1439247652129:dw|

  32. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The angle you want is the inscribed angle that intercepts arc CD, so its measure is half of arc CD.

  33. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So that would be 63? :)

  34. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Exactly.

  35. becca9898
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Awesome!!! Thank you so much. It makes a lot more sense now!

  36. mathstudent55
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You're welcome.

  37. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.