Final Answer:
The correct relationship for the interior angles in the given scenario is KLN = KLM + MLN. Therefore, option (a) is the correct answer. (Option a)
Step-by-step explanation:
In a triangle, the sum of its interior angles is always equal to 180 degrees. The given scenario involves a triangle where KLM and MLN are angles. The interior angle KLN is formed by the extension of KLM and MLN in the triangle.
According to the angle addition postulate, the measure of KLN is equal to the sum of the measures of KLM and MLN. Therefore, mathematically, it can be expressed as KLN = KLM + MLN.
This relationship holds true for any triangle, and it is a fundamental geometric principle. Understanding the properties of angles within a triangle is essential in geometry, and the angle addition postulate is a key concept in this regard.(Option a)