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SVEN [57.7K]
3 years ago
14

Help me plzz!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
NemiM [27]3 years ago
5 0

9514 1404 393

Answer:

  162 degrees

Step-by-step explanation:

Angles P and F are supplementary, so ...

  3x^2 +12x = 180

  x^2 +4x = 60

  x^2 +4x -60 = 0

  (x +10)(x -6) = 0

The useful value of x that makes this true is x=6.

The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:

  ∠S = 180° -18° = 162°

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