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.
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
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