SOLUTION: <PQR and <ABC are complementary angles and <PQR is nine times as large as < ABC. Determine the measure of each angle

Algebra ->  Points-lines-and-rays -> SOLUTION: <PQR and <ABC are complementary angles and <PQR is nine times as large as < ABC. Determine the measure of each angle      Log On


   

Question 199309:
Answer by tutorvolunteer(9) About Me  (Show Source):
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Since they are complimentary angles, both add up to 90 degrees.
Let's call X + Y = 90
If X is 9x as large as Y, x=9y
Therefore, we have a system of equations:
X+Y = 90 and x=9y
If we plug them in, we get: 9Y + Y = 90, which is 10Y = 90
Therefore Y = 9, and if we plug this into x=9y, we get that X = 81