Question

problem 10
in (\triangle klq), (kl>lq) and (kl < kq). which is the smallest angle of (\triangle klq)?
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Explanation:

Step1: Analyze the side - length relationships

Given \(KL>LQ\) and \(KL < KQ\), we can order the sides as \(LQ

Step2: Use the triangle angle - side relationship

In a triangle, the smaller side is opposite the smaller angle.
Since \(LQ\) is the shortest side, the angle opposite \(LQ\) is the smallest angle.
The angle opposite \(LQ\) is \(\angle K\).

Answer:

\(\angle K\)