Question: Given that the triangles below are congruent, the value of x is: 83° x Top-left: a triangle with an 83° angle at the bottom-left corner; the left side has one tick mark, the bottom side has two tick marks, and the slanted side has three tick marks. Bottom-left: a congruent triangle with the left side having three tick marks, the upper-right slanted side having one tick mark, and the lower-right side having two tick marks; the angle marked x is at the right vertex.

1. **State the problem:** We are given two congruent triangles with side markings indicating corresponding sides. One triangle has an angle of $83^\circ$ and we need to find the value of angle $x$ in the congruent triangle. 2. **Identify corresponding parts:** Since the triangles are congruent, corresponding sides and angles are equal. The side with one tick mark in the first triangle corresponds to the side with one tick mark in the second triangle, and similarly for the two and three tick marks. 3. **Locate the given angle and the unknown angle:** The $83^\circ$ angle is at the bottom-left corner of the first triangle, adjacent to the side with one tick mark. The angle $x$ is at the right vertex of the second triangle, adjacent to the side with one tick mark (which corresponds to the side with three tick marks in the first triangle). 4. **Use congruence to match angles:** The side with one tick mark in the first triangle corresponds to the side with three tick marks in the second triangle, so the angle adjacent to the one tick mark side in the first triangle corresponds to the angle adjacent to the three tick mark side in the second triangle. 5. **Conclusion:** The angle $x$ in the second triangle corresponds to the $83^\circ$ angle in the first triangle because of the side markings and congruence. **Final answer:** $$x = 83^\circ$$