Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.








Both together:
The quadilateeral could have angles 90, 90, 45 and 135 degrees with angles ABC = 90 and BCD = 45.
or the angles could 90, 90, 120 and 60. with angle ABC = 120 and BCD = 60.
Hence insufficient.

E is the correct answer.