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A certain game board is in the shape of a non-convex polygon

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by BTGmoderatorDC » Fri Mar 08, 2019 5:47 pm

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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.

OA B

Source: Manhattan Prep
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Source: — Data Sufficiency |

by Ian Stewart » Sat Mar 09, 2019 11:31 am
Statement 1 is always true, so is useless, while Statement 2 obviously gives you one equation in one unknown, so is sufficient.

But test takers don't need to know anything about 'exterior angles' for the GMAT, nor what a 'non-convex polygon' is, not to mention that Statement 2 is problematic because the quantities have different units, so this question is well out of the scope of the GMAT, and test takers can safely ignore it.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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