Question

explain how rays ab and ac form both a line and an angle.

Explanation:

Step1: Recall the definition of a line

A line is a straight path that extends infinitely in both directions. Rays \(AB\) and \(AC\) lie on the same straight path. Since a line has no endpoints and extends infinitely, \(AB\) and \(AC\) together form a line (as they are colinear and extend infinitely in opposite directions).

Step2: Recall the definition of an angle

An angle is formed by two rays with a common endpoint. Here, the common endpoint is \(A\). Ray \(AB\) and ray \(AC\) have a common starting - point \(A\) and extend in opposite directions. The measure of the angle between them is \(180^{\circ}\) (a straight angle)

Answer:

Rays \(AB\) and \(AC\) form a line because they are colinear and extend infinitely in opposite directions (satisfying the definition of a line). They form an angle (a straight angle of \(180^{\circ}\)) because they have a common endpoint \(A\) (satisfying the definition of an angle)