Respuesta :

52 degrees.

A trapezoid has a total of 360 degrees, so when you add up the degrees we are given we end up with 308 degrees. If you add 52 degrees you get 360.

For a given trapezium ABCD, measure of angle [tex]D = 52\°[/tex].

What is an angle?

" An angle is defined as when two rays meet at a common point known as vertex."

According to the question,

Given trapezium ABCD,

Measure of angle [tex]BAD= 128\°[/tex]

Measure of angle [tex]ABC= 126\°[/tex]

Measure of angle [tex]BCD= 54\°[/tex]

Sum of all the interior angles in a trapezium is equal to [tex]360\°[/tex].

Therefore,

[tex]\angle ABC + \angle BCD +\angle CDA + \angle DAB = 360\°\\\\\implies 126\°+54\°+ \angle CDA + 128\°=360\°\\\\\implies \angle CDA = 360\° - 308\°\\\\\implies \angle CDA = 52\°[/tex]

Hence, Option (A) is the correct answer.

Learn more about angle here

brainly.com/question/7116550

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