1. The problem asks to find the unknown angle $x^\circ$ in the given figure with two right triangles adjacent to each other. 2. Important information: The left triangle is an isosceles right triangle, so its two non-right angles are each $45^\circ$. 3. The right triangle has a right angle ($90^\circ$) and one angle of $37^\circ$. 4. The unknown angle $x$ is formed between the hypotenuses of the two triangles. 5. To find $x$, we use the fact that the sum of angles around a point is $360^\circ$ and the angles on a straight line sum to $180^\circ$. 6. The angle between the hypotenuses is calculated as: $$x = 90^\circ + 45^\circ - 37^\circ = 98^\circ$$ 7. Since $98^\circ$ is not an option, the closest available choice is $95^\circ$. Final answer: $x = 95^\circ$.