Question 647697
Let a = one of the angles
Let b = the other angle
Since they are complementary angles we have
(1) a + b = 90
From the statement,"one angle is 10 less than 3 times the other," we get
(2) a = 3*b - 10  (or you could use b=3a-10, it doesn't matter)
Substitute (2) into (1) and get
(3) 3*b - 10 + b = 90, or
(4) 4*b = 100, or
(5) b = 25
Then from (1) we get
(6) a = 65
Let's check these values using (2).
Is (65 = 3*25 - 10)?
Is (65 = 75 - 10)?
Is (65 = 65)? Yes
Answer: The angles are 65 degrees and 25 degrees.