In a rectangle, the angle between the diagonals is 68 degrees. find the angle between the diagonal

In a rectangle, the angle between the diagonals is 68 degrees. find the angle between the diagonal and the large base of the rectangle.

Since the diagonals of a rectangle are equal, and at the intersection point they are divided in half, the triangles formed when the diagonals intersect are isosceles.

In a triangle opposite the larger angle lies the larger base, then the smaller base will lie opposite the angle 68.

In the triangle AOB, the angle OBA = OAB = (180 – 68) / 2 = 112/2 = 56.

Then the angle СBО = DAO = 90 – 56 = 34.

Answer: The angle between the diagonal and the large base is 34.