Question

tell whether each point is in the interior, exterior or on the angle. 7. 8. 9. 10. 11. 12. determine whether each statement is true or false. 13. the figure formed by opposite rays is sometimes referred to as a straight angle. 14. the vertex is in the exterior of an angle. 15. an angle separates the plane into two parts: the interior and the exterior of the ang

Explanation:

Step1: Recall angle - point relationship rules

A point is in the interior of an angle if it lies between the two rays that form the angle, on the angle if it lies on one of the rays or the vertex, and in the exterior if it lies outside the region between the two rays.
For 7: Point L is on one of the rays of the angle, so it is on the angle.
For 8: Point X is outside the region between the two rays of the angle, so it is in the exterior.
For 9: Point A is between the two rays of the angle, so it is in the interior.
For 10: Point B is on one of the rays of the angle, so it is on the angle.
For 11: Point C is between the two rays of the angle, so it is in the interior.
For 12: Point Z is outside the region between the two rays of the angle, so it is in the exterior.
For 13: Opposite rays form a straight - line and the angle formed by opposite rays is a straight angle (180 degrees), so the statement "The figure formed by opposite rays is sometimes referred to as a straight angle" is true.
For 14: The vertex is the common endpoint of the two rays that form the angle and is not in the exterior. So the statement "The vertex is in the exterior of an angle" is false.
For 15: By definition, an angle separates the plane into three parts: the interior, the exterior, and the angle itself (the two rays and the vertex). So the statement "An angle separates the plane into two parts: the interior and the exterior of the angle" is false.

Answer:

1. On the angle
2. Exterior
3. Interior
4. On the angle
5. Interior
6. Exterior
7. True
8. False
9. False