SOLUTION: this question is from Survey of Math Would some one please help me, I am lost. PQR and ABC are supplementary angles and PQR is nine times as large as ABC. Determine the measure o

Algebra ->  Angles -> SOLUTION: this question is from Survey of Math Would some one please help me, I am lost. PQR and ABC are supplementary angles and PQR is nine times as large as ABC. Determine the measure o      Log On


   



Question 247738: this question is from Survey of Math
Would some one please help me, I am lost.
PQR and ABC are supplementary angles and PQR is nine times as large as ABC. Determine the measure of each angle.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
PQR and ABC are supplementary angles and PQR is nine times as large as ABC. Determine the measure of each angle.
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q + b = 180 degrees
q = 9b
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Substitute for "q" and solve for "b":
9b + b = 180
10b = 180
b = 18 degrees
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Since q + b = 180
q + 18 = 180
q = 162 degrees
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PQR = 162 degrees
ABC = 18 degrees
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Cheers,
Stan H.