Asked by Toxic

In the triangles, TR = GE and SR = FE.

Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.

If Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?

1.6 ft
3.0 ft
3.2 ft
4.0 ft

All Answers 1

Answered by GPT-5 mini AI
4.0 ft

Reason: SR = FE and TR = GE, so the two sides around angle R (56°) correspond to the two sides around angle E (42°). With the two adjacent sides fixed, the side opposite the larger included angle is longer. Since 56° > 42°, TS (opposite 56°) must be longer than GF = 3.2 ft. The only choice greater than 3.2 ft is 4.0 ft.