We have to find a pair of angles which are complementary but not adjacent.
Adjacent angles are those angles which are one after another and complementary angles are those angles whose sum is 90 degree.
In the given diagram,
![\angle 1 + \angle 2+ \angle 3 = 180](https://img.qammunity.org/2019/formulas/mathematics/middle-school/40az7vif0jekq4nb2jyabq8qv4n3dc0v4u.png)
And it is given that, measurement of angle 2 is 90.
Substituting 90 for angle 2, we will get
![\angle 1 + 90 + \angle 3= 180](https://img.qammunity.org/2019/formulas/mathematics/middle-school/z5r1yir15q7mm89xmi07wvadew5trtryqz.png)
Subtracting 90 degree to both sides
![\angle 1 + \angle 3 = 90](https://img.qammunity.org/2019/formulas/mathematics/middle-school/lm2xnv8rwcf02wweyu5s8zg80e3qqmbldr.png)
Therefore angle 1 and angle 3 are complementary and there are not adjacent too .
So the correct option is the second option .