Question

What is the measure of angle D?

52o
54o
57o
126o

Answer 1

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.

Answer 2

For a given trapezium ABCD, measure of angle $D = 52\°$.

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 $BAD= 128\°$

Measure of angle $ABC= 126\°$

Measure of angle $BCD= 54\°$

Sum of all the interior angles in a trapezium is equal to $360\°$.

Therefore,

$\angle ABC + \angle BCD +\angle CDA + \angle DAB = 360\°\\\\\implies 126\°+54\°+ \angle CDA + 128\°=360\°\\\\\implies \angle CDA = 360\° - 308\°\\\\\implies \angle CDA = 52\°$

Hence, Option (A) is the correct answer.

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