So x+y+z = 180 degrees.
Because x = 1/4z
therefore
5/4z+y = 180 degrees
Z is greater than y
therefore
5/4z+z > 180 degrees
Solve inequality
Z > 80 degrees
Because it is an acute triangle.
So the range of the maximum angle is 90 degrees > z > 80 degrees.
The range of the minimum angle is 22.5 degrees > x > 20 degrees.
Bring the numbers from 8 1 to 89 into x+y+z in stages.
Rounding number
The following degrees can be obtained.
When z = 84 degrees and 88 degrees.
meet a condition
2 1 degree, 75 degrees, 84 degrees
22 degrees, 70 degrees, 88 degrees