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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?
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?

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becca9898
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439250086914:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439246526551:dw

becca9898
 one year ago
Best ResponseYou've already chosen the best response.154° 36° 27° 63° I think the answer is 27, but I am unsure

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Are you sure the question is angle DBC? There is no angle DBC shown in your figure.

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1I am sure of it. Let me take a screenshot of the question

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We can find the answer. I just want to make sure we have the correct question.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439246714171:dw

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1If this helps, here is the question :)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Ok. Notice my first drawing above. The measure of an inscribed angle is half the arc.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1They 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?

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1Would I use the Inscribed Angle Theorem? I used DBC = 1/2 * 57

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439246922903:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1I 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.

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1Oops, yes I meant 54.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1You need to find the arc that angle DBC intercepts.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439247095578:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Angle DBC intercepts arc CD. Do you see that?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we need to find the measure of arc CD. Then angle DBC is half the measure of arc CD.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439257707805:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1A diameter is made up of two radii. dw:1439247250424:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1What is the measure of the angle formed by two radii that are a diameter? Hint: think of a straight angle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes. A central angle intercepts an arc of the same measure.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439247397295:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1439247431302:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Arc BCD is intercepted by diameter BD. Diameter BD is a straight angle of 180 degrees, so arc BCD measures 180 degrees.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Arc BC measures 54 deg. Arc BCD measures 180 deg. What is the measure of arc CD?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Great. Now let's go back to this figure. dw:1439247652129:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The angle you want is the inscribed angle that intercepts arc CD, so its measure is half of arc CD.

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1So that would be 63? :)

becca9898
 one year ago
Best ResponseYou've already chosen the best response.1Awesome!!! Thank you so much. It makes a lot more sense now!
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