The diagonals of the rectangle KLMN meet at point O. Find the angle between the diagonals

The diagonals of the rectangle KLMN meet at point O. Find the angle between the diagonals if the angle LKO is 35 degrees.

The diagonals, by their intersection, form two pairs of isosceles triangles in the rectangle. Consider one of these triangles. The LKO triangle is isosceles, in it, by condition, the angle LKO = 35 ° at the base is known, hence the second angle at the base of this triangle, the angle KLO = 35 °. We can find the corner KOL and then the corner KON adjacent to it. These will be the angles between the diagonals.
KOL angle = 180 ° – (LKO angle + KLO angle) = 180 ° – (35 ° + 35 °) = 180 ° – 70 ° = 110 °.
Angle KON = 180 ° – 110 ° = 70 °.
Answer: 110 ° and 70 ° angles when crossing the diagonals of the rectangle