I would do it this way:
x + y + z = 180 => y = 180 - (x + z)
Also, x + z > y
=> x + z > 180 - (x + z)
=> x + z > 180 - x - z
=> 2x + 2z > 180
=> x + z > 90
So x + z must be at least greater than 90, which is the lower bound, and only choice C gives that. I wouldn't do anymore than this.
Thanks.