Question 902741
Sum of angles is 90: x+y = 90
Difference is 16: x-y = 16 (this implies x > y)



x+y = 90
x-y = 16


Add the equations


x+y = 90
x-y = 16
--------
2x+0y = 106


So we have


2x = 106


x = 106/2


x = 53


Use this to find y


x+y = 90


53+y = 90


y = 90-53


y = 37


So the two angles are 53 degrees and 37 degrees.