Question

Show work!!
What is the value of x?

A.36

B.84

C.60

D.120

Answer 1

Set the angles equal to each other 
2x+24=144
Subtract 24 from both sides
2X=120
Divide by two
x=60
The answer is C

Answer 2

The two angles shown in the picture given are called "vertical angles," meaning that they are equal to each other. Therefore, we can equate the two given expressions together and solve for the variable, $x$. 
$2x+24=144$
$2x=120$
$x=60$
Therefore, the value of x in this scenario is $\boxed{C)60}$. Hope this helped and have a terrific day!