Answer:
24 degrees.
Step-by-step explanation:
Let's let the two angles be A and B.
First, since they're complementary, they total 90. Thus:
[tex]A+B=90[/tex]
If one angle (let's use A) is 18 more than twice the other, this means that:
[tex]A=18+2B[/tex]
Substitute this into the first equation:
[tex]18+2B+B=90[/tex]
Combine like terms:
[tex]3B+18=90[/tex]
Subtract 18 from both sides:
[tex]3B=72[/tex]
Divide both sides by 3:
[tex]B=24[/tex]
So, angle B is 24 degrees.
And angle A is 2(24)+18=66 degrees.
So, the smaller angle is 24 degrees.
And we're done!
