Question

jl and mo are parallel lines. which angles are supplementary angles? ∠onp and ∠jki ∠onk and ∠onp ∠mnk and ∠onp ∠lki and ∠mnp

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Analyze each option

• For \(\angle ONP\) and \(\angle JKI\): There is no direct relationship (like linear - pair or same - side interior angles due to parallel lines) to suggest their sum is \(180^{\circ}\).
• For \(\angle ONK\) and \(\angle ONP\): These two angles form a linear pair. By the definition of a linear pair, \(\angle ONK+\angle ONP = 180^{\circ}\) (since they are adjacent angles on a straight line).
• For \(\angle MNK\) and \(\angle ONP\): There is no property (such as parallel - line properties or linear - pair) that makes their sum \(180^{\circ}\).
• For \(\angle LKI\) and \(\angle MNP\): There is no property (such as parallel - line properties or linear - pair) that makes their sum \(180^{\circ}\).

Answer:

\(\angle ONK\) and \(\angle ONP\)