Answer:
x = 82, y = 8
Step-by-step explanation:
1. What does complementary mean? - The angles must add up to 90 degrees.
2. Form your equation: x + y = 90°
3. Let's say x is the larger angle and y is the smaller angle. So, form another equation: x = 74 + y
4. Put the two equations next to each other:
x + y = 90
x = 74 + y
5. We know what x is equal to, so plug it in!
74 + y + y = 90
74 + 2y = 90
-74 -74
2y = 16
y = 8
6. Now we know y = 8! So let's plug it back in!
x + 8 = 90
-8 -8
x = 82
