In the figure, JKLMN is a regular pentagon.

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Mike@Magoosh: GMAT Instructor; Posts: 768; Joined: Wed Dec 28, 2011 4:18 pm; Location: Berkeley, CA; Thanked: 387 times; Followed by:140 members

In the figure, JKLMN is a regular pentagon.

by Mike@Magoosh » Tue Oct 29, 2013 10:33 am

In the figure, JKLMN is a regular pentagon. Find the measure of âˆ JLK.
A. 24Â°
B. 36Â°
C. 48Â°
D. 60Â°
E. 72Â°

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/

Mike

Magoosh GMAT Instructor
https://gmat.magoosh.com/

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Source: Beat The GMAT — Problem Solving | Tue Oct 29, 2013 10:33 am

theCodeToGMAT: Legendary Member; Posts: 1556; Joined: Tue Aug 14, 2012 11:18 pm; Thanked: 448 times; Followed by:34 members; GMAT Score:650

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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