Question

gi and jl are parallel lines. which angles are supplementary angles? ∠ghk and ∠ihf ∠ghk and ∠ihk ∠ghk and ∠lkh ∠ghk and ∠jkm

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 angle pairs

• $\angle GHK$ and $\angle IHF$ are vertical angles, so they are equal, not supplementary.
• $\angle GHK$ and $\angle IHK$ form a straight - line at point $H$ on line $GI$. The sum of $\angle GHK+\angle IHK = 180^{\circ}$.
• $\angle GHK$ and $\angle LKH$ are alternate interior angles (since $GI\parallel JL$), so they are equal, not supplementary.
• $\angle GHK$ and $\angle JKM$ have no specific relationship that makes their sum 180 degrees.

Answer:

$\angle GHK$ and $\angle IHK$