Let x be the smallest angle.

The combination of the three is x + 3x + 5x = 9x.

Thus 9x = 180.

So x = <<20=20>>20.

# Answer

20
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The three angles of a triangle add up to 180 degrees.  The largest angle is 5 times bigger than the smallest. The middle angle is 3 times bigger than the smallest. How many degrees is the smallest angle?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
20
The three angles of a triangle add up to 180 degrees.  The largest angle is 5 times bigger than the smallest. The middle angle is 3 times bigger than the smallest. How many degrees is the smallest angle?
train