quadrilateral

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shashank.ism: Legendary Member; Posts: 1022; Joined: Mon Jul 20, 2009 11:49 pmFollowed by: 2 members; Location: Gandhinagar; Thanked: 41 times

by shashank.ism » Mon Feb 15, 2010 10:53 pm

ABCD is a convex quadrilateral in which <(BAC) = <(CBD) = 30 deg, <(CAD) = 60 deg, <(CDB) = 15 deg. If E is the point of intersection of AC and BD, then measure of <(BEA) in degrees (is)
A) 60
B) 75
C)105
D) 120
E) none of these

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Source: Beat The GMAT — Problem Solving | Mon Feb 15, 2010 10:53 pm

komal: Legendary Member; Posts: 777; Joined: Fri Jan 01, 2010 4:02 amFollowed by: 47 members; Location: Mumbai, India; Thanked: 117 times

by komal » Tue Feb 16, 2010 9:07 pm

shashank.ism wrote:ABCD is a convex quadrilateral in which <(BAC) = <(CBD) = 30 deg, <(CAD) = 60 deg, <(CDB) = 15 deg. If E is the point of intersection of AC and BD, then measure of <(BEA) in degrees (is)
A) 60
B) 75
C)105
D) 120
E) none of these

This was a bit difficult for me. However i found a very easy solution to this on complore.com. Hope it helps u as well : )

https://www.e-gmat.com/

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harsh.champ: Legendary Member; Posts: 1132; Joined: Mon Jul 20, 2009 3:38 amFollowed by: 6 members; Location: India; Thanked: 64 times; GMAT Score:760

by harsh.champ » Thu Feb 18, 2010 4:00 am

komal wrote:
shashank.ism wrote:ABCD is a convex quadrilateral in which <(BAC) = <(CBD) = 30 deg, <(CAD) = 60 deg, <(CDB) = 15 deg. If E is the point of intersection of AC and BD, then measure of <(BEA) in degrees (is)
A) 60
B) 75
C)105
D) 120
E) none of these
This was a bit difficult for me. However i found a very easy solution to this on complore.com. Hope it helps u as well : )

Thanks komal for the soln.
But I found this to be rather a "Challenge Problem" than a "GMAT Problem".
Like it uses multiple concepts:-
1)Use of semi-perimeter for area calculation.
2)Perfect squares of natural no.s
3)Elimination technique

Also,what is the option 5 that the soln. is referring to??
I got confused as option 5 over here is "None of the above".
Is it "120" in the link you gave??

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