Use the law of sines to solve the triangles.

b = 29°, b = 26, c = 28

The Law of Sines appears as follows:

  b             c            a
= =
sin B      sin C     sin A

Here there is no mention of side a or of angle A, so focus on
    b             c        
=  
sin B      sin C 

Plugging in the given values:

  26              28
=
sin 29       sin C

Solving for sin C:  sin C = 28 sin 29
                                         
                                                 26

Solve for sin C.

Finally, use the arcsin x function to determine the value of angle C in radians and in degrees.