Question

use the figure to complete each part.
(a) name the vertex of ∠1.
(b) name the sides of ∠tqr.
and
(c) write two other names for ∠2.
and

Explanation:

(a) Vertex of ∠1

A vertex is the common endpoint of the rays forming an angle. In ∠1, the common endpoint of the rays is \( Q \).

(b) Sides of ∠TQR

The sides of an angle are the two rays that form the angle. For ∠TQR, the rays are \( \overrightarrow{QT} \) and \( \overrightarrow{QR} \).

(c) Other names for ∠2

An angle can be named by its vertex (if there is only one angle at that vertex) or by three points (with the vertex in the middle). For ∠2, two other names are \( \angle SQR \) (using three - point notation with \( Q \) as the vertex) and \( \angle RQS \) (also using three - point notation, which is equivalent as the order of the non - vertex points can be reversed when the vertex is in the middle).

Answer:

(a) \( Q \)
(b) \( \overrightarrow{QT} \), \( \overrightarrow{QR} \)
(c) \( \angle SQR \), \( \angle RQS \)