Geometry

Question Analysis

This question focuses on identifying supplementary angles within a given geometric diagram.

Key Concept Explanation

Supplementary angles are two angles whose sum equals 180°. Adjacent angles that form a straight - line (linear pair) are supplementary.

Step - by - Step Solution

1. Analyze each option:

A.∠ONS and ∠RNO: These two angles share a common side (ray ) but do not form a straight - line. So, they are not supplementary.

B.∠KNO and ∠SNR:  These angles are not adjacent in a way that they form a straight - line. They are not supplementary.

C.∠KLN and ∠SNK: There is no indication that these two angles form a straight - line or have a sum of 180°. They are not supplementary.

D.∠LNK and ∠RNL: These two angles are adjacent, and their non - common sides (

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