Answer:
The angles are 24° and 66°.
Step-by-step explanation:
Let two angles be x and y.
For two complementary angles,
x+y = 90 ...(1)
ATQ,
x-y = 42 ...(2)
We need to find the measures of the angles.
Add equation (1) and (2).
x+y+x-y = 90+42
2x = 132
x = 66
Put the value of x in equation (1)
66+y = 90
y = 90-66
y = 24
So, the angles are 24° and 66°.