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Solve [tex]\(180 = a + b + c\)[/tex] for [tex]\(c\)[/tex].

Rewrite this equation so that it is [tex]\(c = ?\)[/tex].

Sagot :

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]