Question 96982
Let the measures of the angles be x and y

Since sum of complementary angles is 90 degrees

x + y = 90   .....(1)

also given 

x - y = 22   ......(2)


Adding equations 1 and 2

we have 2x=112
or x=56
therefore y = 90 - 56 =34

angles are 56 and 34