Answer:
x = 19
Step-by-step explanation:
These are vertical angles, which means that the angle measurements are going to be the same. Set the two angle measurements equal to each other:
3x - 3 = 6(x - 10)
Simplify. First, distribute 6 to all terms within the parenthesis:
3x - 3 = 6(x - 10)
3x - 3 = 6(x) - 6(10)
3x - 3 = 6x - 60
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Add 3 and subtract 6x from both sides:
3x (-6x) - 3 (+3) = 6x (-6x) - 60 (+3)
3x - 6x = -60 + 3
-3x = -57
Isolate the variable, x. Divide -3 from both sides:
(-3x)/-3 = (-57)/-3
x = -57/-3 = 57/3 = 19
x = 19 is your answer.
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