Question

2-1 question 4 of 8 (1 point) | question attempt: 1 of unlimited (a) write two other names for ∠qmp. and (b) name the vertex of ∠pmn. (c) name the sides of ∠1. and

Explanation:

Part (a)

Step1: Recall angle naming rules

An angle can be named by its vertex in the middle and the two rays, or by just the vertex (if unique) or by the number (if labeled). For $\angle QMP$, the vertex is $M$, and the rays are $MQ$ and $MP$. So another name is $\angle PMQ$ (reversing the rays) and also $\angle 2$ (since it's labeled as $\angle 2$).

Step2: Confirm the names

• $\angle PMQ$: Swapping the order of the rays $MQ$ and $MP$ around the vertex $M$.
• $\angle 2$: Using the angle label given in the diagram.

Step1: Recall vertex definition

The vertex of an angle is the common endpoint of the two rays forming the angle. For $\angle PMN$, the rays are $MP$ and $MN$, and their common endpoint is $M$.

Step1: Identify $\angle 1$

$\angle 1$ is at vertex $M$, with rays $MN$ and $MQ$ (from the diagram: $\angle 1$ is between $MN$ and $MQ$).

Step2: Name the sides

The sides of an angle are the two rays forming it. So for $\angle 1$, the sides are $\overrightarrow{MN}$ and $\overrightarrow{MQ}$.

Answer:

$\angle PMQ$ and $\angle 2$

Part (b)