Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: ks > gk prove: m∠g > m∠gsk

Explanation:

Step1: Analyze the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle. In \(\triangle GKS\), we are given \(KS> GK\).

Step2: Identify the angles opposite the sides

The side \(KS\) is opposite \(\angle G\) and the side \(GK\) is opposite \(\angle GSK\) in \(\triangle GKS\).

Answer:

The theorem that justifies the statement \(m\angle G>m\angle GSK\) given \(KS > GK\) is the triangle - side - angle relationship theorem (which states that in a triangle, the larger side is opposite the larger angle).