Geometry

Question Analysis

This question involves the geometric concept of complementary angles.

 

Key Concept Explanation

Complementary angles are two angles whose measures add up to 90 degrees. To find the complement of an angle, we need to determine which other angle, when added to the given angle, equals 90 degrees.

 

Step - by - Step Solution

1. First, note the measure of ∠KRJ, which is 36°.

2. Then, check the measure of each option:

A.For ∠NRO, its measure is 54°. Since 36° + 54° = 90°, ∠NRO is the complement of ∠KRJ.

B.For ∠LRM, its measure is 42°, and 36°+42°≠90°.

C.For ∠KRM, ∠KRM = ∠KRJ+∠JRL + ∠LRM=36° + 90°+42°≠90°.

D.For ∠LKR, we don't have enough information to calculate its measure directly, but we already found the correct complementary angle.

 

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