SOLUTION: < A and < B are complementary. Find m< A and m< B. m< A=5x+8 m< B=x+4 m< A=3x-7 m< B=11x-1 m< A=3/4x-13 m< B=3x-17

Algebra ->  Algebra  -> Angles -> SOLUTION: < A and < B are complementary. Find m< A and m< B. m< A=5x+8 m< B=x+4 m< A=3x-7 m< B=11x-1 m< A=3/4x-13 m< B=3x-17      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 158209: < A and < B are complementary. Find m< A and m< B.
m< A=5x+8
m< B=x+4

m< A=3x-7
m< B=11x-1
m< A=3/4x-13
m< B=3x-17
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.


# 1

Since angles A and B are complementary, this means that A%2BB=90


A%2BB=90 Start with the given equation.


5x%2B8%2Bx%2B4=90 Plug in A=5x+8 and B=x+4


6x%2B12=90 Combine like terms on the left side.


6x=90-12 Subtract 12 from both sides.


6x=78 Combine like terms on the right side.


x=%2878%29%2F%286%29 Divide both sides by 6 to isolate x.


x=13 Reduce.


A=5x%2B8 Go back to the first angle


A=5%2813%29%2B8 Plug in x=13


A=65%2B8 Multiply


A=73 Add


So the first angle is 73 degrees


--------------------------------



A=x%2B4 Go back to the second angle


A=13%2B4 Plug in x=13


A=17 Add


So the second angle is 17 degrees