State whether the statements are True or False.
Sum of interior angles on the same side of a transversal with two parallel lines is `90^(@)`

Answer

To determine whether the statement "Sum of interior angles on the same side of a transversal with two parallel lines is 90 degrees" is true or false, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Parallel Lines and Transversal**:
- When two parallel lines are intersected by a transversal, several angles are formed. We need to analyze the angles formed on the same side of the transversal.

2. **Draw the Parallel Lines and Transversal**:
- Let’s label the two parallel lines as Line A and Line B. Draw a transversal line that intersects both Line A and Line B.

3. **Identify the Angles**:
- Label the angles formed by the transversal and the parallel lines. For example, let’s label the angles as follows:
- Angle 1 (formed between Line A and the transversal on the top side)
- Angle 2 (formed between Line B and the transversal on the bottom side)
- Angle 3 and Angle 4 can be the other two angles on the opposite sides.

4. **Apply the Property of Interior Angles**:
- According to the properties of angles formed by a transversal with two parallel lines, the sum of the interior angles on the same side of the transversal (Angle 1 and Angle 2) is equal to 180 degrees, not 90 degrees.

5. **Conclusion**:
- Since the statement claims that the sum of the interior angles on the same side of the transversal is 90 degrees, and we have established that it is actually 180 degrees, we conclude that the statement is **False**.

### Final Answer:
The statement is **False**.

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