Question: Given that the triangles below are congruent, the value of x is: Top-left triangle: a triangle with the bottom-left angle marked $83^\circ$, the left side has one tick, the bottom side has two ticks, and the slanted top side has three ticks. Bottom-left triangle: a triangle with the top-right angle marked $x$, the top side has one tick, the bottom-right side has two ticks, and the left side has three ticks. $x = 83^\circ$

1. **State the problem:** We are given two congruent triangles with corresponding sides marked by ticks and one angle marked $83^\circ$ in the first triangle. We need to find the value of $x$ in the second triangle. 2. **Recall the property of congruent triangles:** Congruent triangles have all corresponding sides and angles equal. 3. **Identify corresponding parts:** The side with one tick in the first triangle corresponds to the side with one tick in the second triangle, the side with two ticks corresponds to the side with two ticks, and the side with three ticks corresponds to the side with three ticks. 4. **Corresponding angles:** Since the triangles are congruent, the angle opposite the side with one tick in the first triangle (which is $83^\circ$) corresponds to the angle opposite the side with one tick in the second triangle, which is $x$. 5. **Conclusion:** Therefore, $x = 83^\circ$. **Final answer:** $$x = 83^\circ$$