Geometry

Question Analysis

This question involves the concept of complementary angles.

 

Key Concept Explanation

Complementary angles are pairs of angles whose measures sum up to 90°.

 

Step-by-Step Solution

1. Determine the measure of ∠SNO. From the diagram, ∠SNO = 71°.

2. Recall the definition of complementary angles. We need to find an angle whose measure, when added to 71°, equals 90°.

3. Analyze each option:

A.For ∠LNM, its measure is 19°. Since 19° + 71° = 90°, ∠LNM is the complement of ∠SNO.

B.For ∠ONK, its measure is 29°. Since 29°+ 71°≠90°, it is not the complement.

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

D.For ∠RNO, ∠RNO = 61° + 29° = 90°. But it's not the angle complementary to ∠SNO.

 

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