Question

angles
name each angle in four ways. then identify its vertex and its sides.
1.
2.
3.
name all angles having a as their vertex.
4.
5.
6.
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.

1. the figure formed by opposite rays is sometimes referred to as a straight angle.
2. the vertex is in the exterior of an angle.
3. an angle separates the plane into two parts: the interior and the exterior of the angle.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex (if it is the only angle at that vertex), by three points (with the vertex in the middle), by a number, or by a Greek letter. The vertex is the common endpoint of the two rays that form the angle, and the sides are the two rays.

Step2: Analyze statements

1. For statement 13: Opposite rays form a straight - line, and the angle formed by opposite rays is a straight angle. So, it is true.
2. For statement 14: The vertex is the point where the two sides of the angle meet. It is not in the exterior of the angle. So, it is false.
3. For statement 15: An angle indeed separates the plane into two parts: the interior and the exterior of the angle. So, it is true.

Answer:

1. True
2. False
3. True