Answer:
the statement KS ≅ MS is true based on the congruence of the angles KST and MST.
Explanation:
Based on the given information that TA is parallel to KM, we can apply the alternate interior angles theorem for parallel lines. According to the theorem, when a transversal intersects two parallel lines, the alternate interior angles are congruent.
In this case, the angles KST and MST are alternate interior angles formed by the transversal line KS and the parallel lines TA and KM. Since the lines TA and KM are parallel, we can conclude that:
KST ≅ MST