Angle A and Angle B are coplementary angles. If angle A is six more than three times angle B, what are the measures of the angles?
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OpenStudy (ash2326):
@bev199 Do you know the meaning of complimentary?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
complementary angles are those whose sum is 90 degrees.Use this two write a linear equation in one variable and solve.
OpenStudy (ash2326):
Two angles are complimentary if their sum is 90 degrees
OpenStudy (ash2326):
@bev199 try to create the equation
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OpenStudy (anonymous):
A+b=90
OpenStudy (ash2326):
you're right, now create the second equation
OpenStudy (anonymous):
3b+6=A
OpenStudy (ash2326):
Yeah you're right. Now can you find A and B from both these equations
OpenStudy (anonymous):
So would it be 3(45)+6(45)=A
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OpenStudy (anonymous):
no.i think you got it wrong.It is A + B=90.
now substitute A=3B+6 in the equation and solve to find A.
OpenStudy (ash2326):
We have two equations
\[A+B=90\]
\[A=3B+6\]
Now substitute A from second to the first equation
\[3B+6+B=90\]
Find B from this and then find A:)
Can you do it now?