Answer: 36° and 54°
Step-by-step explanation:
Let the larger angle be 'R' and the smaller angle 'q'
⇒ R + q = 90 [since complementary angles have a sum of 90°]
Then R - q = 18 [since 1 of 2 complementary angles is 18 less than other]
We can combine the equation
(18 + q) + q = 90
18 + 2q = 90
2q = 72
q = 36
We can solve for R
R - 36 = 18
q = 36 + 18
q = 54
