Final answer:
The value opposite to each 45° angle in a right triangle is x√2, which is the hypotenuse in a 45°-45°-90° triangle.
Step-by-step explanation:
The value opposite to each 45° angle in a right-angled triangle, considering 'x' to be the length of the adjacent side (or the opposite side, as they are the same in a 45°-45°-90° triangle), is x√2. This is derived from the properties of a 45°-45°-90° triangle, in which the sides opposite the 45° angles are equal, and the side opposite the 90° angle (hypotenuse) is √2 times longer than the other sides. Therefore, the answer to the question is option 2) x√2.