Question

eg and hj are parallel lines. which angles are adjacent angles? ∠hik and ∠jik ∠hik and ∠efd ∠hik and ∠jif ∠hik and ∠efi

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side.

Step2: Analyze each pair

• For \(\angle HIK\) and \(\angle JIK\):

They share vertex \(I\) and side \(IK\).

• For \(\angle HIK\) and \(\angle EFD\):

They do not share a common vertex or side.

• For \(\angle HIK\) and \(\angle JIF\):

They do not share a common side.

• For \(\angle HIK\) and \(\angle EFI\):

They do not share a common vertex or side.

Answer:

\(\angle HIK\) and \(\angle JIK\)