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List the sides of ΔRST in ascending order (shortest to longest) if: m∠R =x+28°, m∠S = 2x+16°, and m∠T = x+12

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sqdancefan

Answer:

  t, r, s

Step-by-step explanation:

The sum of angles is 180°, so you have ...

  (x +28) + (2x +16) + (x +12) = 180

  4x + 56 = 180

  4x = 124

  x = 31

For this value of x, ...

  2x+16 > x+28, so S is the largest angle and "s" is the longest side.

  x +12 < x +28, so T is the smallest angle and "t" is the shortest side.

The sides, shortest to longest, are ... t = RS, r = ST, s = RT.

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