The diagonal of a rectangle makes an angle of 25 on one of its sides, find the smaller angle between

The diagonal of a rectangle makes an angle of 25 on one of its sides, find the smaller angle between the diagonals of this rectangle.

The diagonals of the rectangle intersecting with each other form four triangles with the sides of the rectangle. Two of the same.

Also, the diagonals divide the right angles of the rectangle into 2 corners. If one angle is 25 ° then we can calculate the other angle.

90 ° – 25 ° = 765 °.

We get two isosceles triangles each, with angles at the base of 15 ° and 65 °. Let’s calculate the angles at the vertices of these rectangles. They are and will be the angles of intersection of the diagonals.

180 ° – 25 ° – 25 ° = 130 °.

180 ° – 65 ° – 65 ° = 50 °.

Answer: the smaller angle between the diagonals is 50 °.