Geomatry - am I missing something

[nittinj]

Am i missing somethng terribly trivial !!

[karthikgmat]

we need both statements to find the answer..?
Isn't it IMO C?

[krazy800]

with the given informtion there is a possibility that we can also get

Angle A = 90
Angle B =90
Angle C =45
Angle D = 155

so definite answer about the angles cannot be reached (since u can also get 90, 90, 60, 120)....so go with E

[nikhilagrawal]

I think the ans shld be A

bcos if 2 side of quad are 90 each. the other 2 side shld also be 90 each. otherwise we cant form a quadilateral

pls correct me if I am wrong

[Morgoth]

I think the ans shld be A

bcos if 2 side of quad are 90 each. the other 2 side shld also be 90 each. otherwise we cant form a quadilateral

pls correct me if I am wrong

Well you can.

refer the below link, the image on the bottom left helps you visualize that quadrilateral with two 90 degree angles and other two angles of different measure.

https://www.nzmaths.co.nz/geometry/shape ... /Poly1.gif

Hope this helps.

[nikhilagrawal]

thanks I got the logic ... so ans should be E

[69aero69]

The correct answer is (E).

First, the sum of the internal angles of a quadrilateral is always 360º (can be decomposed in 2 triangles of 180º each)

A) is insufficient
we can have:
A=90
B=90
C=60
D=120

or

A=90
B=90
C=90
D=90

B) is insufficient
we can have
A=135
B=45
C=90
D=90

or

A=100
B=60
C=120
D=80

And together is also insufficient:
we can have
A=135
B=45
C=90
D=90

or

A=90
B=60
C=120
D=90