Geometry

Question Analysis:
This problem uses algebra to apply the property that diagonals in a parallelogram bisect each other.
The main focus is solving an equation formed by equal diagonal segments.

Key Concept Explanation:
In a parallelogram, each diagonal is bisected. So PT = TR.

Step-by-Step Solution:
Given:
PT = 5x − 3
TR = 3x + 5
Set them equal:
5x − 3 = 3x + 5
→ 2x = 8
→ x = 4

Common Mistakes:
Forgetting diagonals bisect → ...