Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. They form line segments A G, B E, and C F.

Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.

If triangle RST is an acute triangle, then m∠S must be
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