Let measure of angle a =40 degrees , if angle b is complement of angle a and c is supplement of angle b , what is measure of b + measure of c

Complementary angles ( a and b ) are equal to 90 °
90° -  a = b 
90° - 40° = b 
b = 50°
Supplementary angles ( b and c ) are equal to 180 °, so.. 
180° - b = c 
180° - 50° = c 
c = 130°
Measure b + Measure c = 180°  btw

The answer to your question is b’(16,14)