The diagonal of a rectangle makes an angle of 86 degrees to one of its sides.

The diagonal of a rectangle makes an angle of 86 degrees to one of its sides. Find an acute angle between the diagonals of this rectangle.

Since ABCD is a rectangle, its diagonals are equal and are halved at the point of their intersection.

Then AO = OB = OC = OD, and then the triangle AOB is isosceles, and therefore the angle OBA – OAB = 86.

The sum of the interior angles of the triangle is 180, then the angle AOB = (180 – OAB – OBA) = (180 – 86 – 86) = 8.

Answer: The acute angle between the diagonals is 8.