Question

fh and ik are parallel lines. which angles are supplementary angles? ∠kjg and ∠ijl ∠kjg and ∠fgj ∠kjg and ∠ijg ∠kjg and ∠hge

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze the relationship between \(\angle KJG\) and \(\angle IJG\)

Since \(I\), \(J\), \(K\) are collinear (points on a straight - line), \(\angle KJG+\angle IJG = 180^{\circ}\) (by the linear - pair postulate: if two adjacent angles form a straight - line, their sum is \(180^{\circ}\)).

Answer:

\(\angle KJG\) and \(\angle IJG\)