For the isolate trapezoid shown the measurement of Angle D is 56 degrees
Given that we know the measurement of angle D is 56 degrees, we can use the properties of the trapezoid to determine the measurements of the other angles.
In a trapezoid, the two non-parallel sides are called legs, and the two parallel sides are called bases. In this case, angle D is adjacent to base AD and base BC.
Since angle D is opposite to base BC, we can conclude that angle D is supplementary to angle C (the angle across from it on the same base BC). Therefore, angle C must be 180 - 56 = 124 degrees.
Similarly, angle D is also opposite to base AD, so angle D is supplementary to angle A (the angle across from it on the same base AD). Therefore, angle A must also be 124 degrees.
Finally, since the angles in a quadrilateral add up to 360 degrees, angle B can be calculated as follows:
B = 360 - (A + C + D)
B = 360 - (124 + 124 + 56)
B = 56 degrees
Therefore, the measurements of the angles in the trapezoid are as follows:
Angle A = 124 degrees
Angle B = 56 degrees
Angle C = 124 degrees
Angle D = 56 degrees