SOLUTION: The measure of angle C is (2x + 56) degrees. The measure of angle I is (208 + 5x) degrees. If angle C is the supplement of angle I, what is the measure of the two angles? Please h

Algebra ->  Angles -> SOLUTION: The measure of angle C is (2x + 56) degrees. The measure of angle I is (208 + 5x) degrees. If angle C is the supplement of angle I, what is the measure of the two angles? Please h      Log On


   

Question 914679: The measure of angle C is (2x + 56) degrees. The measure of angle I is (208 + 5x) degrees. If angle C is the supplement of angle I, what is the measure of the two angles?
Please help!!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The measure of angle C is %282x+%2B+56%29 degrees.
The measure of angle I is +%28208+%2B+5x%29+ degrees.
Supplementary angles add up to 180°.
so, we have %282x+%2B+56%29%2B%28208+%2B+5x%29=180
2x+%2B+56%2B208+%2B+5x=180
7x+%2B264=180
7x+=180-264
7x+=-84
x+=-84%2F7
x+=-12

C is %282x+%2B+56%29=2%28-12%29%2B56=-24%2B56=highlight%2832%29°
I is +%28208+%2B+5x%29=208-5%28-12%29=208-60=highlight%28148%29+°