Question

look at this angle:
name this angle in three different ways:
and and

Explanation:

Identify the vertex and rays of the angle

The given angle has its vertex at point \(Q\). The two rays forming the sides of the angle are ray \(QR\) and ray \(QP\).

Determine the three-letter naming methods

An angle can be named using three letters, with the vertex letter always placed in the middle.

• Starting from point \(R\), going to vertex \(Q\), and then to point \(P\) gives \(\angle RQP\).
• Starting from point \(P\), going to vertex \(Q\), and then to point \(R\) gives \(\angle PQR\).

Determine the single-letter naming method

When there is no ambiguity (only one angle at the vertex), an angle can also be named using just its vertex letter.

• Using only the vertex \(Q\) gives \(\angle Q\).

Answer:

Name this angle in three different ways: <blank>\(\angle Q\)</blank> and <blank>\(\angle PQR\)</blank> and <blank>\(\angle RQP\)</blank>