Question

What is the value of x? Enter your answer in the box. x =

Answer 1

..............................

Answer 2

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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