Answer:
all that apply are
(A) UV = 14 ft and m∠TUV = 45°
(C) m∠STU = 37° and m∠VTU = 37°
(D) ST = 20 ft, UV = 14 ft, and m∠UST = 98°
(E) m∠UST = 98° and m ∠TUV = 45°
Explanation :
(A) UV = 14 ft and m∠TUV = 45°
because as ΔSTU ≅ ΔVTU
you can see that us = uv ( corresponding parts of congruent triangle ) in short form (cpct)
so if us = 14 ft given in pic
so uv will also be 14
same with m∠TUV = 45°
angle TUS is 45 so (cpct)
(B) TU = 26 ft tgis is not applicable because nothing is related to this in photo
(C) m∠STU = 37° and m∠VTU = 37°
is applicable because the sum of all angles = 180
and angle SUT = 45
angle UST = 98 ( angle UVT is 98 and hence by cpct they are equal)
so 45 + 98 + angle STU = 180
STU = 180 - 143
STU = 37
(D) ST = 20 ft, UV = 14 ft, and m∠UST = 98°
by cpct already done above
(E) m∠UST = 98° and m ∠TUV = 45°
by cpct already done above
