Geometry

 

   The measures of angles A and B are both positive, integer numbers of degrees.     

   The measure of angle A is a multiple of the measure of angle B,     

   and angles A and B add up to 11 degrees. How many measures are possible for angle A?     

 

        A      B     

       10      1     <—  I don't know about you, but it looks to me like     

         9      2            10 & 1 are the only pair that meets the criteria.     

         8      3             unless you want to use fractions as multipliers,     

         7      4             in which case every pair will work.     

         6      5     

         5      6     

         4      7     

         3      8     

         2      9     

         1    10     

   _.