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In the figure, JKLMN is a regular pentagon.

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by Mike@Magoosh » Tue Oct 29, 2013 10:33 am
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In the figure, JKLMN is a regular pentagon. Find the measure of ∠JLK.
A. 24°
B. 36°
C. 48°
D. 60°
E. 72°

For a discussion of polygons & regular polygons, as well as the OA & explanation to this particular question, see:
https://magoosh.com/gmat/2012/polygons-a ... -the-gmat/

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by theCodeToGMAT » Tue Oct 29, 2013 10:45 am
Sum of Interior Angles: (n-2)*180 = (5-2)*180 = 540

So, measure of each angle = 540/5 = 108

In triangle JKL

KJ = KL, So isosceles triangle

(180-108)/2 = 36

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