Question

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

Explanation:

Step1: Naming ∠2

An angle can be named using its vertex and two points on its sides. For ∠2, the vertex is \( Q \), and the points on its sides are \( R \) and \( S \). So, two other names are \( \angle RQS \) and \( \angle SQR \).

Step2: Naming sides of ∠TQR

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

Step3: Naming vertex of ∠1

The vertex of an angle is the common endpoint of the rays forming the angle. For \( \angle 1 \), the common endpoint is \( Q \).

Answer:

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