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SMO 2009 Senior Round 1 Question 9

SMO · SMO 2009 Senior Round 1

Question 9

Determine the number of acute-angled triangles (i.e. all angles are less than $90^\circ$) in which all angles (in degrees) are positive integers and the largest angle is three times the smallest angle.
  1. $3$
  2. $4$
  3. $5$
  4. $6$
  5. $7$