<span>An obtuse angle is any angle greater than 90 degrees and less than 180 degrees.
We have 2 angles, one of x degrees, and the other of 2x degrees. Their sum is 3x degrees, and this must be in the range that defines an obtuse angle. Therefore:
90 < 3x < 180, and dividing all by 3, we get
30 < x < 60, and multiplying by 2 gives
60 < 2x < 120, which the range of possible degrees for the larger angle.</span>
