measure of interior angle of quad

I think the answer is E.

Statement I

Two angles are of 90 degrees, no info about the other two angles.

Hence Insufficient.

Statement II

one angle is twice its opposite angle, that angle could be 60 and 120, we dont know. Insufficient.

Combining I & II

two angles 90, one angle is twice the other.
that angle could also be 45. 2*45 = 90

Therefore Insufficient.

Hence E is the answer.

Whats the OA?

I would say it's C

Statement 1 not suff. as per previous post

Statement 2 not suff. One angle is double the other. The angles could be

150
75
25
110

or
120
60
90
90
.. and many other combinations


Both statments combined:
two angles are at 90 degrees. A quadrilateral has a total angle measure of 360. This leaves 180 for the other two angles where one of these two must be twice the other.

Set up equation:
X+Y = 180
2X = Y
Substitute
X+2X = 180
X=60
Y=120

Both statments combined are suff. Answer C

what's the OA?

OA is E

Btw, I don't get it how it can be E. IMHO its C

Good point. Thanks Ian