We know that the interior angles of a quadrilateral (4 sided figure) always sum to 360 degrees.
Q: is one of the angles 60 degrees?
(1) ABCD contains 2 right angles.
That accounts for 180 of the 360, but we have no clue how the remaining 180 degrees are split up between the last two angles: insufficient.
(2) ABC = 2*BCD
We have the relationship between two of our angles, but we don't know anything about specific measurements.
We could have ABC = 120 and BCD = 60 (yes answer); or
ABC = 130 and BCD = 65 (not sure answer): insufficient.
Combined, we know that we have two 90 degree angles and that one angle is double the other. However, we still don't know WHICH angles follow each piece of information.
The following 4 angles fit all the rules we have:
(a) 90 90 120 60 : 2 90 degree angles and 120 = 2*60
(yes, we have a 60 degree angle)
(b) 90 90 45 135 : 2 90 degree angles and 90 = 2*45
(no, we don't have a 60 degree angle)
We can get both a "yes" and a "no" even after combining: choose (e).
