Answer: m∠B=53°
Explanation:
A property that is inherent in a trapezoid of any kind: the sum of the angles adjoining a side is equal to 180°
Hence,
(32x-1)+(14x-3)=180
32x-1+14x-3=180
46x-4=180
46x-4+4=180+4
46x=184
Divide both parts of the equation by 46:
x=4
m∠B=14x-3
m∠B=14(4)-3
m∠B=56-3
m∠B=53°