Q is equidistant from the sides of ZTSR. Find mZRST. The diagram is not to scale.
PLEASE HELP ME THIS IS FOR GEOMETRY I CANT FIGURE THIS OUT

9514 1404 393

  40°

Step-by-step explanation:

Triangles QRS and QTS are congruent (HL), so the marked angles are also congruent:

  3x +2 = 4x -4

  6 = x

Then the total angle measure of angle RST is ...

  (3x +2) +(4x -4) = 7x -2 = 7(6) -2 = 40 . . . degrees

m∠RST = 40°

9514 1404 393

  a) x ≈ 36.87°

  b) y ≈ 53.13°

  c) they are complementary

Step-by-step explanation:

a) The tangent relation is useful:

  Tan(x°) = Opposite/Adjacent = 3/4

  x° = arctan(3/4) = 36.87°

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b) The tangent relation is useful:

  Tan(y°) = Opposite/Adjacent = 4/3

  y° = arctan(4/3) = 53.13°

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c) The acute angles in a right triangle are complementary angles.