SOLUTION: ) /_PQR and /_ABC are complementary angles and /_PQR is nine times as large as /_ ABC. Determine the measure of each angle.

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Question 209427: ) /_PQR and /_ABC are complementary angles and /_PQR is nine times as large as /_ ABC. Determine the measure of each angle.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
The sumof two complementary angles=90 degrees.
PQR=9ABC
PQR+ABC=90
9ABC+ABC=90
10ABC=90
ABC=90/10
ABC=9 DEGREES.
PQR=9*9
PQR=81 DEGREES.
PROOF:
9+81=90