Question 376317
x = one angle, 
90 - x = other angle.  Then 
x + (90-x)/4 = 62.25.  Hence
x + 22.5 -x/4 = 62.25,
3x/4 = 39.75,
0.75x = 39.75,
x = 53, one angle, and 90 - 53 = 37, the measure of the other angle.