Geometry

Question Analysis：
This problem requires using the adjacent angle property of parallelograms to solve for the variable x.

Key Concept Explanation：
For a quadrilateral to be a parallelogram：
• Adjacent angles must be supplementary (sum to 180°)
• This creates parallel sides through the consecutive interior angles theorem

Step-by-Step Solution：
∠B = ∠D → ∠A + ∠B = ∠A + ∠D
Set up adjacent angle equation：
(3x + 25) + (2x + 35) = 180
Simplify and solve：
5x + 60 = 180 → 5x = 120 → x = 24
Verification：
∠A = 3(24) + 25 = 97°
∠B = ∠D = 2(24) + 35 = 83°
97° + 83° = 180° (sat...