Answer: [tex]52^{\circ}[/tex]
Step-by-step explanation:
We know that the sum of a ll the angles of a quadrilateral is 360 degrees.
Then for the given trapezoid, applying the angle sum property of quadrilateral we get
[tex]\angle{A}+\angle{B}+\angle{C}+\angle{D}=360^{\circ}\\\\\Rightarrow\ 128^{\circ}+126^{\circ}+54^{\circ}\angle{D}=360^{\circ}\\\\\Rightarrow\ \angle{D}=360-128-126-54\\\\\Rightarrow\ \angle{D}=360-308\\\\\Rightarrow\ \angle{D}=52^{\circ}[/tex]
Hence, The measure of angle D = [tex]52^{\circ}[/tex]
