Geometry

Question Analysis

This question focuses on the concept of complementary angles.

 

Key Concept Explanation

Complementary angles are pairs of angles whose sum equals 90 degrees.

 

Step - by - Step Solution

1. We know that the measure of ∠MRL is 44° from the diagram.

2. Analyze each option:

A.For ∠NRM, it is given as 82°. Since 44° + 82° = 126°≠90°, ∠NRM is not the complement of ∠MRL.

B.For ∠SRJ, it is 46°. And 44°+46° = 90°, so ∠SRJ is the complement of ∠MRL.

C.For ∠KRJ, it is 36°. Since 44°+36° = 80°≠90°, ∠KRJ is not the complement of ∠MRL.

D.For ∠LRK, as ∠LRJ is a right - angle (90°) and ∠KRJ = 36°, then ∠LRK=90° - 36° = 54°. Since 44°+54° = 98°≠90°, ∠LRK is not the complement of ∠MRL.

 

Common Mistakes

Forgetting the definition...