If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ______ two right angles.

Options

A. Equal to
B. More than
C. Less than
D. Can't be determined

Answer

To solve the given problem, we need to analyze the situation described in the question step by step.

### Step-by-Step Solution:

1. **Understanding the Problem**:
We have a straight line (let's call it line L) that intersects two other straight lines (let's call them line A and line B). The angles formed on one side of line L (let's denote them as angle x and angle y) are less than two right angles (180 degrees).

2. **Setting Up the Angles**:
According to the problem, we can express this mathematically:
\[ x + y < 180^\circ \]
Here, angle x and angle y are the interior angles formed on the same side of line L.

3. **Understanding the Implication**:
The question states that if the two straight lines (A and B) are extended indefinitely, they will meet on the side where the sum of the angles (x and y) is less than two right angles.

4. **Analyzing the Geometry**:
Since the sum of angles x and y is less than 180 degrees, this implies that the angles on the opposite side (let's denote it as angle z) must be greater than 0 degrees to maintain the total sum of angles around point L equal to 360 degrees.

5. **Calculating the Remaining Angle**:
The total angle around point L is:
\[ x + y + z = 360^\circ \]
Since we know that \(x + y < 180^\circ\), we can deduce:
\[ z = 360^\circ - (x + y) > 180^\circ \]
This means that angle z (the angle on the opposite side) is greater than 180 degrees.

6. **Conclusion**:
Therefore, if the two straight lines (A and B) are produced indefinitely, they will meet on the side where the sum of angles (x and y) is less than two right angles (180 degrees).

### Final Answer:
The two straight lines, if produced indefinitely, meet on that side on which the sum of angles is **less than two right angles**.