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The image provided displays a triangle with an incircle, and the task is to find specific angles given certain information. The triangle’s interior angles and a relationship involving tangents are to be considered.

### Given:
- \( \angle B = 43^\circ \)
- \( \angle A = 56^\circ \)
- The triangle is inscribed in a circle, so the lines shown are tangents.

### Steps to Solve:
1. **Find \( \angle C \) using the angle sum property:**
   \[
   \angle A + \angle B + \angle C = 180^\circ
   \]
   Substitute the known values:
   \[
   56^\circ + 43^\circ + \angle C = 180^\circ
   \]
   \[
   \angle C = 180^\circ - 99^\circ = 81^\circ
   \]

   So, \( \angle C = 81^\circ \).

2. **Find \( \angle a \):**
   - Assuming \( \angle a \) refers to one of the small angles where the tangents meet the triangle sides.
   - These are often labeled as \( \angle A \), \( \angle B \), or \( \angle C \).
   - However, without additional context, if "angle a" refers to a specific angle related to the triangle's internal structure, we might need more information or a clearer definition.

3. **Find \( \angle de \):**
   - If "angle de" refers to the angle between two tangents or another internal angle formed by the tangency points, we'd need to know more about the specific labeling or the points \( D \) and \( E \).
   - If it’s an angle related to the incircle or tangency, additional context is required to provide an exact solution.

### Final Values:
- \( \angle B = 43^\circ \)
- \( \angle C = 81^\circ \)
- \( \angle A = 56^\circ \)

The angles \( a \) and \( de \) would need more precise definitions based on the context of the problem.

Would you like to clarify or ask any other questions?

### Related Questions:
1. What is the incenter of a triangle and how is it related to the incircle?
2. How do tangents to a circle from an external point relate to each other?
3. Can the angles inside a triangle be determined using the circumcenter?
4. What are the properties of tangential quadrilaterals?
5. How do you calculate the radius of an incircle in a triangle?

### Tip:
Always make sure to clarify the exact definitions or labels given in a geometry problem, as different labels can lead to different interpretations.

Learn how to find angles B, A, and DE in a triangle inscribed in a circle with detailed step-by-step solutions. This problem involves triangle geometry, the angle sum property, and relationships involving tangents to circles.

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