Question

which angles are supplementary angles?
∠jkm and ∠lkh
∠jkh and ∠ghf
∠lkm and ∠ghf
∠ihk and ∠ghk
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not feeling ready yet? these can help:
identify complementary, supplementary, vertical, adjace (0)
identify alternate interior and
lesson: transversals of parallel lines
lesson: adjace

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is $180^{\circ}$.

Step2: Analyze each option

• For $\angle JKM$ and $\angle LKH$: These are vertical angles (equal in measure), not supplementary.
• For $\angle JKH$ and $\angle GHF$: These are not forming a linear - pair (sum not $180^{\circ}$).
• For $\angle LKM$ and $\angle GHF$: These are not related in a way that their sum is $180^{\circ}$.
• For $\angle IHK$ and $\angle GHK$: They form a linear - pair (adjacent angles on a straight line). So, $\angle IHK+\angle GHK = 180^{\circ}$ (by the definition of a straight line, which is $180^{\circ}$).

Answer:

$\angle IHK$ and $\angle GHK$