The sides AB and DC of a cyclic quadrilateral ABCD when produced meet at E and the sides DA and CB when produced meet at F. Given `angle BEC=38^(@)`,`angle BAD=102^(@)`. Find the values of `angle AFB` and `angle ADC`.

Explanation

To solve the problem, we need to find the angles \( \angle AFB \) and \( \angle ADC \) in the cyclic quadrilateral \( ABCD \) given \( \angle BEC = 38^\circ \) and \( \angle BAD = 102^\circ \).

### Step-by-Step Solution:

1. **Identify the Angles in Triangle ADE**:
- We know that \( \angle BEC = 38^\circ \) and \( \angle BAD = 102^\circ \).
- Let \( \angle AFB \) be \( x \).
- In triangle \( ADE \), the sum of the angles is \( 180^\circ \).
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