The question in the image states:

"One diagonal of a rectangle is inclined at 25° to one side of the rectangle. The acute angle between the diagonals is:
(A) 55°
(B) 50°
(C) 40°"

Solution:

1. Key Geometry: The diagonals of a rectangle bisect each other and form equal angles with the sides.

   • One diagonal is inclined at 25° to one side.
   • The other diagonal will be symmetrical about the center and will form the same angle (25°) with the opposite side.

2. Acute Angle Between Diagonals:

   • The two diagonals together form a supplementary pair of angles summing to $180^\circ$.
   • The acute angle between them will be: $180^\circ - 2 \times 25^\circ = 180^\circ - 50^\circ = 130^\circ$
   • The acute angle (less than $90^\circ$) between the diagonals is: $50^\circ$

Final Answer: (B) 50°

Do you want me to provide more details or explanations?

Related Questions:

1. What is the relation between angles formed by diagonals in any parallelogram?
2. Can this approach be applied to a square? Why or why not?
3. How would the angles change if the diagonal was inclined at $45^\circ$?
4. What happens if the rectangle becomes a rhombus?
5. How does this concept extend to finding angles in 3D shapes like cuboids?

Tip:

Always remember that diagonals in rectangles bisect each other and form supplementary angles across.