suppose A,B,C,D as four angles of a quadrilateral. with 1 suppose A,B both 90 degrees and with 2 suppose C=120 and D=60 degrees. Since none of them is sufficient alone so Both are sufficient together.

1. if two interior anglês are 90 degrees each, sum of the remaining two would be 180

hence it could be 90,90 or 125,55 or anything hence we cannot conclude that one of the inetrior angles is 60 degrees

hence, Ans could be B or C

2. Here, angle ABC=2 angle BCD

Again here we cannot comment on other 2 angles vir BAD and ADC

so, its not B


Lets check for C using info from 1 and 2

Angle ABC+ Angle BCD+Angle BAD+ Angle ADC=360

3Angle BCD=180 ( since from 2, Angle ABC=2 Angle BCD and other two each are 90)


Angle BCD=60, hence, we can conclude using both statments that one of interior angles is 60

C

I got E

OA?
Angles A, B, C and D respectively

90, 120, 60 and 90
90, 90, 45 and 135

4meonly wrote:I got E

OA?
Angles A, B, C and D respectively

90, 120, 60 and 90
90, 90, 45 and 135

Correct
The OA has to be E.