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Mekhanik [1.2K]
3 years ago
5

Plz help i dont understand

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0
You can search in google if you want for the "inscribed quadrilateral conjecture"

and if you want... I can give you a quick proof of it

hmmm in short, if you inscribe a quadrilateral polygon in a circle
it will have 4 angles

each pair of opposite angles, are "supplementary angles", or they add up to 180°

so.. that said in yours, R+P = 180 and Q+O = 180 as well

you only need Q

so  \bf \measuredangle Q+\measuredangle O=180\qquad 
\begin{cases}
\measuredangle Q=2x+4\\\\
\measuredangle O=2x
\end{cases}\implies (2x+4)+(2x)=180

solve for "x"

how big is Q? well, 2x + 4 :)
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