In the above figure, m∠P = 125° and m∠Q = 5x. If angles P and Q are supplementary angles. what is the value of x and the measure of angle Q?
A. x = 61, m∠ Q = 55°
B. x = 11, m∠Q = 16°
OC. x = 11, m&angle: Q = 55°
D. x = 43, m∠Q = 215°

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  the correct choice is marked: x = 11; Q = 55°

Step-by-step explanation:

If P and Q are supplementary, then ...

  Q = 180° -P

  Q = 180° -125°

  Q = 55°

Then we have ...

  5x = 55°

  x = 11°

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