Given triangle abc with mb equals 62 degrees and side ac extended to d as shown below which value of x makes a b congruent to cb

4) 121 degrees 
because if x is 121 degrees then angle BCA will equal 59 degrees (the two angles must equal 180) so using the sum of a triangle's angles, then angle BAC will have to equal 59, making the triangle an isoceles, which will make AB to be congruent to BC.