Strategies, Sample Questions, and Random Ramblings.
July 19, 2015
Although not a major topic on the GMAT, polygons are worth discussing as there are a few quick tips that can help on the exam as you run across some tough questions. Also, the only polygons that you are likely to come across are the following:
If you see a polygon on the exam it will likely be a ‘regular’ polygon. This means that all of the sides and interior angles are equal to each other. This comes in handy as you are asked to calculate pieces of the figure.
First, you will have to know the sum of the interior angles of a polygon, which is as follows: sum = 180(n - 2) where n is the number of sides.
Then, you may be asked to calculate the measure of one of the angles, which can be done by taking the sum of all the angles and dividing it by the number of sides, or:
The figure on the right shows why the sum formula works, as the figure can be broken into a series of triangles. In this example, 4, as demonstrated with the solid lines.
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