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quadrilateral

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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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 : )


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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 : )


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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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