A trapezium has all angles equal.

Answer

To solve the question "A trapezium has all angles equal," we need to analyze the properties of a trapezium (or trapezoid) and the implications of having all angles equal.

### Step-by-Step Solution:

1. **Definition of a Trapezium**:
- A trapezium is a four-sided figure (quadrilateral) with at least one pair of parallel sides. Let's denote the trapezium as ABCD, where AB is parallel to CD.

2. **Understanding the Angles**:
- In a trapezium, the angles can vary. For example, if we denote the angles as A, B, C, and D, we can have:
- Angles A and B (the angles adjacent to one of the parallel sides) can be acute (less than 90 degrees).
- Angles C and D (the angles adjacent to the other parallel side) can be obtuse (greater than 90 degrees).

3. **Equal Angles Condition**:
- If we assume that all angles A, B, C, and D are equal, then each angle would measure 90 degrees (since the sum of angles in any quadrilateral is 360 degrees, and 360/4 = 90).

4. **Conclusion**:
- If all angles are equal and each measures 90 degrees, the shape would no longer be a trapezium but a rectangle (or a square if all sides are equal). Therefore, it is incorrect to say that a trapezium can have all angles equal.

5. **Final Statement**:
- Thus, the statement "A trapezium has all angles equal" is false.