Question

eg and hj are parallel lines. which angles are supplementary angles? ∠hik and ∠jif ∠hik and ∠gfd ∠hik and ∠jik ∠hik and ∠efi

Explanation:

Step1: Recall supplementary - angles definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠HIK and ∠JIF: They are vertical angles, not supplementary.
• For ∠HIK and ∠GFD: There is no relation that makes their sum 180 degrees.
• For ∠HIK and ∠JIK: ∠HIK and ∠JIK form a straight - line at point I. So, ∠HIK+∠JIK = 180 degrees.
• For ∠HIK and ∠EFI: There is no relation that makes their sum 180 degrees.

Answer:

∠HIK and ∠JIK