XYAB is a rectangleFind m < XDY X Y 55 deg D A B (1 point ) 90^ -; 110^ - 55 130 deg

Answer 1

To find m < XDY, we need to determine the measure of the angle at point D.

Since XYAB is a rectangle, we know that opposite angles are congruent. Therefore, m < XAB = m < YBA = 90°.

Since the sum of the angles in a triangle is 180°, and angle Y is 55°, we can find m < XDY by subtracting the known angles from 180°.

m < XDY = 180° - m < Y - m < XAB
m < XDY = 180° - 55° - 90°
m < XDY = 180° - 145°
m < XDY = 35°

Thus, m < XDY is 35°.