SOLUTION: Given any three positive real numbers, a, b, and c, with b less than 180 and c less than 180, can you construct a triangle having two interior angles whose measures are b and c, re

Question 509927: Given any three positive real numbers, a, b, and c, with b less than 180 and c less than 180, can you construct a triangle having two interior angles whose measures are b and c, respectively, and the included side having measure a? Illustrate
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

Not necessarily, because if b = c = 179�, then both requirements 
b < 180� and c < 180� are met.  However, b and c cannot be measures 
of 2 interior angles of a triangle because just those two angles 
alone have sum of measures 358�, and the sum of the measures of all 
three interior angles of a triangle must have sum of only 180�.  Two
of them can't have sum of measures 358� and yet all three have sum of
only 180�. 

Edwin

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