Question 491281
There may be a less awkward way to do this, but this method does work.

Smallest = 2/3 * 3/7 = 6/ 21 of largest
Middle = 9/21 0f largest
largest = 21/21 
6 + 9 + 21 = 36 parts total.
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6/36  = x/180  = 30 degrees.
9/36  = x/180  = 45 degrees.
21/36 = x/180  = 105 degrees.
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To check.
45 degrees * 2/3 is 30 degrees.
105 degrees * 3/7 is 45 degrees.
This does check.
Cleomenius.