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Mathematics
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OpenStudy (tylermckinney16):
Help.
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rebeccaxhawaii (rebeccaxhawaii):
whats up?
OpenStudy (tylermckinney16):
Question here.
OpenStudy (tylermckinney16):
@Directrix
Directrix (directrix):
Theorem:
If a quadrilateral is inscribed in a circle, then the opposite angles of the quadrilateral are supplementary.
Directrix (directrix):
To help you get started, the angles with measures y and 81 are supplementary.
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Directrix (directrix):
What equation can be written with y and 81? @TylerMckinney16
OpenStudy (tylermckinney16):
Im not sure lol.
Directrix (directrix):
Supplementary Angles
Two Angles are Supplementary when they add up to 180 degrees.
OpenStudy (tylermckinney16):
99?
OpenStudy (tylermckinney16):
180-81=99?
99+81=180
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Directrix (directrix):
y + 81 = 180
y = 99 which is what you got.
OpenStudy (tylermckinney16):
Ok awesome :)
Directrix (directrix):
Now, what about the value of x
Directrix (directrix):
The angles with measures x and 112 are also supplementary.
OpenStudy (tylermckinney16):
ok give me a sec ill get it.
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Directrix (directrix):
Okay.
OpenStudy (tylermckinney16):
68?
Directrix (directrix):
Correct.
112 + x = 180
x = 68
OpenStudy (tylermckinney16):
awesome so those are the answers :)?
Directrix (directrix):
That is awesome.
x = 68
y = 99
@TylerMckinney16
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OpenStudy (tylermckinney16):
Thanks :D
Directrix (directrix):
You are welcome.
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