SOLUTION: ∠PQR and ∠ABC are complementary angles and ∠PQR is eight times as large as ∠ABC. Determine the measure of each angle. Students must show all work step by st

Algebra ->  Angles -> SOLUTION: ∠PQR and ∠ABC are complementary angles and ∠PQR is eight times as large as ∠ABC. Determine the measure of each angle. Students must show all work step by st      Log On


   

Question 360542: ∠PQR and ∠ABC are complementary angles and ∠PQR is eight times as large as ∠ABC. Determine the measure of each angle. Students must show all work step by step to receive full credit for the problem.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
∠PQR and ∠ABC are complementary angles and ∠PQR is eight times as large as ∠ABC. Determine thean measure of each angle.
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Let ABC = x
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Then PQR = 90-x
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Equation:
(90-x) = 8x
90 = 9x
x = ABC = 10 degrees
Then
90-x = PQR = 80 degrees
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Cheers,
Stan H.