Geometry

Question Analysis

This question involves the concept of complementary angles.

 

Key Concept Explanation

Complementary angles are two angles whose measures add up to 90°.

 

Step-by-Step Solution

1. First, identify the measure of ∠RNK. From the diagram, ∠RNK = 61°.

2. Then, according to the definition of complementary angles, we need to find an angle whose measure plus 61° equals 90°.

3. Analyze each option:

A.For ∠LNM, its measure is 19°. Since 19° + 61° = 80°≠90°, it is not the complement.

B.For ∠SNO, its measure is 71°. Since 71°+ 61°≠90°, it is not the complement.

C.For ∠SNK, ∠SNK=71° + 29°= 100°. Since 61°+100°≠90°, it is not the complement.

D.For ∠ONK, its measure is 29°. Since 61° + 29° = 90°, ∠ONK is the complement of ∠RNK.