Subjects geometry

Lines Relationship D4Fcf9

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1. **Stating the problem:** We have two lines meeting at point O with angles 68°, 124°, and 120° given. We need to determine which statement about the lines is true: whether they are perpendicular, parallel, not parallel, or not horizontal. 2. **Understanding angles and lines:** - Two lines are **perpendicular** if they intersect at a 90° angle. - Two lines are **parallel** if they never meet and have the same slope. - If lines intersect but are not at 90°, they are **not perpendicular**. - Horizontal lines have an angle of 0° or 180° with the horizontal axis. 3. **Analyzing the given angles:** - The angles 68°, 124°, and 120° are not 90°, so the lines are not perpendicular. - Since the lines meet at point O, they intersect, so they cannot be parallel. - The angles are not 0° or 180°, so the lines are not horizontal. 4. **Conclusion:** - The lines are not perpendicular (no 90° angle). - The lines are not parallel (they intersect). - The lines are not horizontal. Therefore, the true statement is **C. They are not parallel**.