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?
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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
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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
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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
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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.
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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!