The diagonal of the rectangle makes an angle of 65 ° on one of its sides. Find an acute angle between

The diagonal of the rectangle makes an angle of 65 ° on one of its sides. Find an acute angle between the diagonals of this rectangle.

Let’s draw two intersecting diagonals in a rectangle.
Then both diagonals to two parallel sides will form angles of 65 °.
This means that to the other two parallel sides, each diagonal forms 90 ° – 65 ° = 25 °.
Angles of 25 ° are sharp angles and less than 65 ° angles that form diagonals with two other parallel sides.
This means that the third corner in a triangle with two angles of 25 ° will be obtuse.
Thus, the acute angle will be in the triangle where the other two angles are 65 ° each.
180 ° – 65 ° – 65 ° = 50 °.
The acute angle between the two diagonals is 50 °.