Question

df and gi are parallel lines. which angles are adjacent angles? ∠dec and ∠ghe ∠dec and ∠ihj ∠dec and ∠deh ∠dec and ∠feh

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side, and their non - common sides form a straight line.

Step2: Analyze each pair

• For \(\angle DEC\) and \(\angle GHE\): They do not share a common vertex.
• For \(\angle DEC\) and \(\angle IHJ\): They do not share a common vertex.
• For \(\angle DEC\) and \(\angle DEH\): They share a common vertex \(E\) and a common side \(EC\) (or \(EH\) depending on how you look at the angle formation), and their non - common sides \(ED\) and \(EH\) (or \(ED\) and \(EC\)) form a straight line.
• For \(\angle DEC\) and \(\angle FEH\): They are vertical angles (opposite angles formed by the intersection of two lines) rather than adjacent angles.

Answer:

\(\angle DEC\) and \(\angle DEH\)