Geometry

Question Analysis:
This question involves using the defining property of parallelograms where opposite sides are equal in length.
The main focus is solving a system of equations derived from this property.

Key Concept Explanation:
In a parallelogram:
Opposite sides are congruent.
 So, LM = NO and LO = MN.
These relationships allow us to set up two linear equations in terms of x and solve for its value.

Step-by-Step Solution:
Step 1: Set LM = NO
4x – 3 = 2x + 5
→ 2x = 8
→ x = 4
Step 2: Check LO = MN
LO = 3(4) + 1 = 13
MN = 4 + 9 = 13 ✅
So, x = 4 satisfies both conditions.

Common Mistakes:
A...