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OpenStudy (anonymous):

Given that the measure of angle WYZ = 63º and point X is interior to the angle. The lengths of segments XW and XZ are each 5.7. What is the measure of angle XYZ?

OpenStudy (anonymous):

|dw:1371581903851:dw|

OpenStudy (anonymous):

the graph is not at scale on purpose

OpenStudy (anonymous):

if those two distances are equal what do you think about the line YX?

OpenStudy (anonymous):

I do not know, It is a bisector right?

OpenStudy (anonymous):

ah GOOD

OpenStudy (anonymous):

so you have it !!!!

OpenStudy (anonymous):

I answered the question?

OpenStudy (anonymous):

if it's a bisector and you have the entire angle you have doubts?

OpenStudy (anonymous):

63/2=31.5

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Thanks a lot...I couldn't figure out how to draw the visual

OpenStudy (anonymous):

look I 'll draw you something:

OpenStudy (anonymous):

Ok, Im watching

OpenStudy (anonymous):

|dw:1371582329155:dw|

OpenStudy (anonymous):

acctually those distances are the radiis of an imaginary circle

OpenStudy (anonymous):

|dw:1371582435566:dw|

OpenStudy (anonymous):

How does the circle help?

OpenStudy (anonymous):

XWY and XZY are 90 degree angle

OpenStudy (anonymous):

YW and YZ are tangent to circle

OpenStudy (anonymous):

Oh....I understand.

OpenStudy (anonymous):

there is a circle because the distances are equal

OpenStudy (anonymous):

if the distances were not equal would be difficult to figure it out

OpenStudy (anonymous):

That was easier than I made it out to be, thanks again for your help!

OpenStudy (anonymous):

hope it helps ...good luck

OpenStudy (anonymous):

Thanks

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