xyab is a rectangle find m<XDY 55 degrees on top left corner
The problem statement indicates that XYAB is a rectangle. Additionally, it specifies that the angle in the top left corner, X, is 55 degrees.
Since XYAB is a rectangle, the opposite angles are congruent. Therefore, the angle in the top right corner, Y, will also measure 55 degrees.
To find m<XDY, we need to determine the measure of angle XDY.
Since XYAB is a rectangle, XDY is composed of two adjacent angles, angle X and angle Y. Therefore, m<XDY = m<X + m<Y = 55 + 55 = 110 degrees.