Answer:
Step-by-step explanation:
Since angle 1 and angle 2 are vertical angles, they have the same measure. Therefore, we can set up the equation:
3x + 21 = 4x - 2
Now, let's solve for x:
3x + 21 = 4x - 2
Subtract 3x from both sides:
21 = x - 2
Add 2 to both sides:
23 = x
So, the value of x is 23.