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Circle circumscribed around a Quadrilateral

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Circle circumscribed around a Quadrilateral

by Bullzi » Wed Sep 23, 2015 5:04 am
Hello,

While I don't remember the exact numbers, here's a question on a Circle circumscribed around a Quadrilateral. Given any one angle (say z), can we figure x out? I wasn't sure which property of angles/Circle circumscribed around a polygon to use. Pleas help!

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Bullzi
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by Brent@GMATPrepNow » Wed Sep 23, 2015 8:45 am
That's called a cyclic quadrilateral, and opposite angles add to 180 degrees.
So, y + w = 180, and x + z = 180.

More here: https://www.bbc.co.uk/schools/gcsebitesi ... rev6.shtml
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by Bullzi » Wed Sep 23, 2015 9:09 am
Thank you. That helps. I just looked up online..

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by Matt@VeritasPrep » Thu Sep 24, 2015 10:04 am
Cyclic quadrilaterals are common in high school math competitions, but NOT on the GMAT, so don't spend too much time reading about their special properties. (I can't recall any GMAT problem that required you to know special cyclic properties, only the normal properties of a circle and a rectangle/square.)
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