In Figure AB||DC , if `x=(4y)/3` and `y=(3z)/8,` find `/_B C D ,/_A B C` and `/_B A Ddot`

Explanation

To solve the problem step by step, we need to find the angles \( \angle BCD \), \( \angle ABC \), and \( \angle BAD \) based on the given relationships between the angles and the fact that lines \( AB \) and \( DC \) are parallel.

### Step 1: Identify the relationships between the angles
Since \( AB \parallel DC \) and \( BD \) is a transversal, we can use the properties of alternate interior angles:
- \( \angle ABD = \angle BDC \)
- \( \angle CBD = \angle ADB \)

### Step 2: Write down the given relationships
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