SOLUTION: find the measurement of two complementary angles if one angle is 6 degrees more than 3 times the other angle.

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Question 224997: find the measurement of two complementary angles if one angle is 6 degrees more than 3 times the other angle.
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary angles add up to 90 degrees.
A%2BB=90
So, from the information given, we can relate angles A and B:
A=6%2B3B
Plug this back into the first equation:
6%2B3B%2BB=90
Combine like terms:
6%2B4B=90
Move the 6 to the other side:
4B=84
Divide both sides by 4:
B=21
So, we know one angle, plug this back into the equation we made for the relation:
A=6%2B3%2A21
A=69
And since 69%2B21=90, we know we've gotten the correct answer.