Sure, let's solve the equation [tex]\( 180 = a + b + c \)[/tex] for [tex]\( c \)[/tex]. Here is a detailed, step-by-step solution.
1. Start with the given equation:
[tex]\[ 180 = a + b + c \][/tex]
2. Isolate [tex]\( c \)[/tex]:
To isolate [tex]\( c \)[/tex], you need to get [tex]\( c \)[/tex] alone on one side of the equation. You can do this by subtracting [tex]\( a \)[/tex] and [tex]\( b \)[/tex] from both sides of the equation.
3. Subtract [tex]\( a \)[/tex] from both sides:
[tex]\[ 180 - a = b + c \][/tex]
4. Subtract [tex]\( b \)[/tex] from both sides:
[tex]\[ 180 - a - b = c \][/tex]
5. Rewrite the equation:
Now, you have [tex]\( c \)[/tex] isolated on one side of the equation.
[tex]\[ c = 180 - a - b \][/tex]
So, the solution to the equation [tex]\( 180 = a + b + c \)[/tex] for [tex]\( c \)[/tex] is:
[tex]\[ c = 180 - a - b \][/tex]
