Question

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

Explanation:

(a) Naming ∠1

• An angle can be named using its vertex and two points on its sides.
• For ∠1, the vertex is \(M\). Points on its sides are \(N\) and \(Q\).
• So, two other names are \(\angle NMQ\) and \(\angle QMN\).

(b) Sides of ∠2

• The sides of an angle are the two rays that form the angle.
• For ∠2, the rays are \(MP\) and \(MQ\).

(c) Vertex of ∠PMQ

• The vertex of an angle is the common endpoint of the two rays forming the angle.
• In \(\angle PMQ\), the common endpoint of rays \(MP\) and \(MQ\) is \(M\).

Answer:

(a) \(\angle NMQ\) and \(\angle QMN\)
(b) \(MP\) and \(MQ\)
(c) \(M\)