Question

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

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary.

Step2: Analyze each option

• For ∠JKN and ∠LKI: They are vertical angles, not supplementary.
• For ∠JKN and ∠MNP: They are corresponding angles, not supplementary.
• For ∠JKN and ∠JKI: ∠JKN and ∠JKI form a straight - line at point K. So, ∠JKN+∠JKI = 180 degrees. They are supplementary.
• For ∠JKN and ∠ONK: ∠JKN and ∠ONK are alternate interior angles, not supplementary.

Answer:

∠JKN and ∠JKI