Angle A and Angle B are supplementary angles. If the measure of angle A = (6x + 10)° and the measure of angle B = (4x +30), then find the measure of angle B.

86°

Step-by-step explanation:

Given:

 A = (6x + 10)°

 B  =  (4x +30)°

Two angles are supplementary if they sum up to 180° ;

 A + B  = 180°  

 Now insert the parameters and solve;

  6x + 10 + 4x +30 = 180

      10x + 40  = 180

       10x  = 140

           x = 14

So;

    B  =  (4x +30)°  = 4(14) + 30  = 86°