SOLUTION: I need help with this question: If angle a and angle b are complementary and the measure of angle a is x-8 and measure of angle b is 3 times the quantity of x+2/3 then find the sup

Algebra ->  Angles -> SOLUTION: I need help with this question: If angle a and angle b are complementary and the measure of angle a is x-8 and measure of angle b is 3 times the quantity of x+2/3 then find the sup      Log On


   

Question 1124436: I need help with this question: If angle a and angle b are complementary and the measure of angle a is x-8 and measure of angle b is 3 times the quantity of x+2/3 then find the supplement of angle B.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

recall:
Two angles are complementary when they add up to 90 degrees (a right angle).

Two angles are supplementary when they add up to 180 degrees.
given:
the measure of angle a=+x-8, and
measure of angle b=+3+%28x%2B2%2F3%29
x-8%2B+3+%28x%2B2%2F3%29=90
x-8%2B+3x%2Bcross%283%29%282%2Fcross%283%29%29=90
x-8%2B+3x%2B2=90
4x-6=90
4x=90%2B6
4x=96
x=96%2F4
highlight%28x=24%29
then
a=+x-8->a=+24-8->highlight%28a=16%29
b=+3+%28x%2B2%2F3%29->b=+3+%2824%2B2%2F3%29->b=+72%2B3%282%2F3%29->b=+72%2B2->highlight%28b=+74%29
then, the supplement of angle b will be 180-b=180-74=highlight%28106%29