SOLUTION: If < 1 and < 2 are complimentary angles, and m < 1=5x-9 and m < 2=4x, find the measure of the two angles.

Algebra ->  Algebra  -> Angles -> SOLUTION: If < 1 and < 2 are complimentary angles, and m < 1=5x-9 and m < 2=4x, find the measure of the two angles.      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 104235: If < 1 and < 2 are complimentary angles, and m < 1=5x-9 and m < 2=4x, find the measure of the two angles.
Answer by MathLover1(3376) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complementary if they add up to 90 degrees (a Right Angle).

If m+%3C1 is 1=5x-9
And m+%3C+2 2+=+4x
We have
5x+%96+9+%2B+4x+=+90
9x++-+9+=+90
9x+=+90+%2B+9
x+=+99%2F9
x+=+11
m+of+%3C1 will be 5%2A11+%96+9 which is 46degrees
m+of+%3C2 will be 4%2A11 which is 44degrees
46+%2B+44+=+90