Question 509927
<pre>
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</pre>