SOLUTION: This question is not from a text book but from a homework handout. Can somebody help please. I just don't understand it. Here's the question: Angle PQR and angle ABC are compl

Question 193172: This question is not from a text book but from a homework handout. Can somebody help please. I just don't understand it. Here's the question:
Angle PQR and angle ABC are complementary angles and angle PQR is nine times as large as angle ABC. Determine the measure of each angle.
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
complementary angles by definition are equal to ninety degrees
:
lest call angle PQR-P and angle ABC lets call A
:
P+A=90.......eq 1
P=9A.........eq 2
:
plug P's value from eq 2 into eq 1
:
9A+A=90
:
10A=90
:
A=9 degrees
:
P=9A=9(9)=81 degrees
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