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

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

|dw:1439250086914:dw|
|dw:1439246526551:dw|
54° 36° 27° 63° I think the answer is 27, but I am unsure

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Are you sure the question is angle DBC? There is no angle DBC shown in your figure.
I am sure of it. Let me take a screenshot of the question
We can find the answer. I just want to make sure we have the correct question.
|dw:1439246714171:dw|
1 Attachment
If this helps, here is the question :)
Ok. Notice my first drawing above. The measure of an inscribed angle is half the arc.
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?
Would I use the Inscribed Angle Theorem? I used DBC = 1/2 * 57
|dw:1439246922903:dw|
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.
Oops, yes I meant 54.
You need to find the arc that angle DBC intercepts.
|dw:1439247095578:dw|
Angle DBC intercepts arc CD. Do you see that?
I see that.
Now we need to find the measure of arc CD. Then angle DBC is half the measure of arc CD.
|dw:1439257707805:dw|
A diameter is made up of two radii. |dw:1439247250424:dw|
What is the measure of the angle formed by two radii that are a diameter? Hint: think of a straight angle.
180 degrees?
Yes. A central angle intercepts an arc of the same measure.
|dw:1439247397295:dw|
|dw:1439247431302:dw|
Arc BCD is intercepted by diameter BD. Diameter BD is a straight angle of 180 degrees, so arc BCD measures 180 degrees.
Arc BC measures 54 deg. Arc BCD measures 180 deg. What is the measure of arc CD?
126?
Great. Now let's go back to this figure. |dw:1439247652129:dw|
The angle you want is the inscribed angle that intercepts arc CD, so its measure is half of arc CD.
So that would be 63? :)
Exactly.
Awesome!!! Thank you so much. It makes a lot more sense now!
You're welcome.

Not the answer you are looking for?

Search for more explanations.

Ask your own question