Question

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

Answer 1

I think the value of x may be 1. I’m not entirely sure, though.

Answer 2

Answer:

$x=19$

Step-by-step explanation:

We have been given a diagram of two intersecting lines. We are asked to find the value of x.

We know that measure of two vertical angles is always equal.

We can see that angle $3x-3$ and $6(x-10)$ are vertical angles, so we will equate measure of both angles and solve for x as:

$6(x-10)=3x-3$    

$6\cdot x-6\cdot 10=3x-3$

$6x-60=3x-3$

$6x-60+60=3x-3+60$

$6x=3x+57$

$6x-3x=3x-3x+57$

$3x=57$

$\frac{3x}{3}=\frac{57}{3}$

$x=19$

Therefore, the value of x is 19.