Which of the following statements is incorrect ?

Options

A. Each diagonal of a quadrilateral divides it into two triangles.
B. Parallelogram and trapezium are quadrilaterals.
C. A quadrilateral can have atmost three angles.
D. A quadrilateral has two diagonals.

Answer

To determine which of the following statements is incorrect, let's analyze each statement one by one.

1. **Each diagonal of a quadrilateral divides it into two triangles.**
- A quadrilateral has two diagonals. When you draw one diagonal, it splits the quadrilateral into two triangles. This is true for both diagonals. Therefore, this statement is **correct**.

2. **Parallelogram and trapezoidal quadrilateral (trapezium) are both quadrilaterals because they have 4 sides.**
- A parallelogram and a trapezium both have four sides, which means they are both types of quadrilaterals. This statement is also **correct**.

3. **A quadrilateral can have at most 3 angles.**
- A quadrilateral has exactly 4 sides and, consequently, 4 angles. Therefore, this statement is **incorrect**.

4. **A quadrilateral has two diagonals.**
- A quadrilateral indeed has two diagonals, which are formed by connecting opposite vertices. This statement is **correct**.

From the analysis above, the incorrect statement is the third one: "A quadrilateral can have at most 3 angles."

### Steps Summary:
1. Analyze the first statement about diagonals and triangles - **Correct**.
2. Analyze the second statement about parallelograms and trapeziums - **Correct**.
3. Analyze the third statement about the number of angles in a quadrilateral - **Incorrect**.
4. Analyze the fourth statement about the number of diagonals in a quadrilateral - **Correct**.

### Final Answer:
The incorrect statement is: **A quadrilateral can have at most 3 angles.**