Question

(a) write two other names for $\angle1$. and (b) name the sides of $\angle2$. and (c) name the vertex of $\angle sqr$.

Explanation:

Step1: Name angles

An angle can be named using the vertex and two points on its sides. For \(\angle1\), the vertex is \(Q\), and the points on its sides are \(T\) and \(R\). So, it can be named \(\angle TQR\) or \(\angle RQT\).

Step2: Identify sides of an angle

The sides of \(\angle2\) are the two rays forming the angle. The vertex is \(Q\), and the rays are \(QS\) and \(QR\).

Step3: Determine the vertex of an angle

The vertex of \(\angle SQR\) is the point where the two sides (rays \(QS\) and \(QR\)) meet, which is \(Q\).

Answer:

(a) \(\angle TQR\) and \(\angle RQT\)
(b) \(QS\) and \(QR\)
(c) \(Q\)