mm007 wrote:
A certain game board is in the shape of a non-convex polygon, with spokes that extend from each vertex to the center of the board. If each spoke is 8 inches long, and spokes are used nowhere else on the board, what is the sum of the interior angles of the polygon?
(1) The sum of the exterior angles of the polygon is 360º.
(2) The sum of the exterior angles is equal to five times the total length of all of the spokes used.
varotkorn wrote:
Q1. Is statement 1 true for
both convex and non-convex polygon?
I think it should apply ONLY to convex polygon. See here:
https://www.khanacademy.org/math/geomet ... ex-polygonQ2. For statement 2, a non-convex polygon
WON'T have a center equidistant from all vertices. How can we possibly solve this problem?
This entire question is a mess. You do not need to know what the words "convex" or "concave" mean on the GMAT, nor do you need to know anything about "exterior angles". There also seems to be an error in the stem when they use the word "non-convex". And Statement 2 is nonsensical, mathematically. You can't compare a length with an angle. They are in different units. It's like if I told you "the length of time it will take me to walk to your house is equal to the distance from here to your house". That sentence is meaningless - in what units are we measuring time and distance? You can compare two angles, or two distances, or two times, or two numbers. You can't compare a distance and an angle.
There is no reason to study this question.
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