Question

which angles are adjacent angles?\
$\angle xwt$ and $\angle utr$\
$\angle xwt$ and $\angle utw$\
$\angle xwt$ and $\angle str$\
$\angle xwt$ and $\angle vwt$

Explanation:

Adjacent angles share a common side and a common vertex, and their non - common sides form a linear pair (or they are next to each other).

• For \(\angle XWT\) and \(\angle UTR\): They do not share a common side or vertex, so not adjacent.
• For \(\angle XWT\) and \(\angle UTW\): They share a common vertex \(W\) (wait, no, actually \(\angle XWT\) and \(\angle VWT\) share a common side \(WT\) and common vertex \(W\), and their non - common sides \(VX\) and \(VW\) form a straight line. Wait, let's re - evaluate. \(\angle XWT\) and \(\angle VWT\): They have the same vertex \(W\), share the side \(WT\), and their other sides \(WX\) and \(WV\) are opposite rays (forming a straight line).
• For \(\angle XWT\) and \(\angle STR\): No common side or vertex.
• For \(\angle XWT\) and \(\angle UTW\): Incorrect vertex and side.

\(\angle XWT\) and \(\angle VWT\) meet the criteria of adjacent angles as they share a common vertex \(W\), a common side \(WT\), and their non - common sides \(WX\) and \(WV\) are a linear pair (form a straight line).

Answer:

\(\boldsymbol{\angle XWT}\) and \(\boldsymbol{\angle VWT}\)