Question

which angles are supplementary angles? ∠lki and ∠jkn ∠lki and ∠lkn ∠lki and ∠mnp ∠lki 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 ∠LKI and ∠JKN, they are vertical angles, not supplementary.
• For ∠LKI and ∠LKN, they form a straight - line at point K on line IL. Since the measure of a straight - line angle is 180 degrees, ∠LKI+∠LKN = 180 degrees. So they are supplementary.
• For ∠LKI and ∠MNP, there is no relationship that makes their sum 180 degrees.
• For ∠LKI and ∠ONK, there is no relationship that makes their sum 180 degrees.

Answer:

∠LKI and ∠LKN