Question

\overleftrightarrow { g i } and \overleftrightarrow { j l } are parallel lines. which angles are supplementary angles? \angle l k h and \angle j k h \angle l k h and \angle g h k \angle l k h and \angle j k m \angle l k h and \angle i h f

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze \(\angle LKH\) and \(\angle JKH\)

Since \(\overrightarrow{JL}\) is a straight - line, \(\angle LKH+\angle JKH = 180^{\circ}\) (they form a linear pair).

Step3: Analyze \(\angle LKH\) and \(\angle GHK\)

\(\overrightarrow{GI}\parallel\overrightarrow{JL}\), but \(\angle LKH\) and \(\angle GHK\) are not adjacent in a way to form \(180^{\circ}\) sum.

Step4: Analyze \(\angle LKH\) and \(\angle JKM\)

\(\angle JKM\) and \(\angle LKH\) do not add up to \(180^{\circ}\).

Step5: Analyze \(\angle LKH\) and \(\angle IHF\)

\(\overrightarrow{GI}\parallel\overrightarrow{JL}\), and \(\angle IHF\) is not such that \(\angle LKH+\angle IHF = 180^{\circ}\)

Answer:

\(\angle LKH\) and \(\angle JKH\)