Answer: angle CBD = 32 degrees
Step-by-step explanation:
Line EH and line AD are parallel lines. This means that angle BFH and angle CBD are corresponding angles. It also means that angle GFH and angle FBD are also corresponding angles.
Corresponding angles are equal. This means that
4x - 8 = 3x + 2
Subtracting 3x from the left hand side of the equation and the right hand side of the equation,it becomes
4x - 3x - 8 = 3x - 3x + 2
x - 8 = 2
Adding 8 to the left hand side of the equation and the right hand side of the equation,it becomes
x - 8 + 8 = 2 + 8
x = 10
Therefore, angle CBD would be
3 × 10 + 2 = 30 + 2 = 32 degrees
