SOLUTION: The measure of angles A and B are complementary. Find the m < B. m< A = (4x - 2)&#730; m< B = (11x + 17)&#730;

Algebra ->  Angles -> SOLUTION: The measure of angles A and B are complementary. Find the m < B. m< A = (4x - 2)&#730; m< B = (11x + 17)&#730;       Log On


   

Question 907828: The measure of angles A and B are complementary. Find the m < B.
m< A = (4x - 2)˚
m< B = (11x + 17)˚
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If two angles add to 90°, we say they "Complement" each other.
so, A%2BB=90
given:
m< A+=+%284x+-+2%29+°
m< B+=+%2811x+%2B+17%29+°

than %284x+-+2%29%2B%2811x+%2B+17%29=90 ....solve for x

4x+-+2%2B11x+%2B+17=90
15x%2B+15=90
15x=90-15
15x=75
x=75%2F15
x=5
now find
m< A+=%284x-2%29° =>m< A+=%284%2A5+-2%29° =>m< A+=+20-2° =>m< A+=+18+°
m< B+=%2811x+%2B17%29°=>m< B+=%2811%2A5+%2B+17%29°=>m< B+=55%2B17°=>m< B+=+72°

check:
A%2BB=90°=>18%2B72=90°=>90=90°