Answer: 20
Step-by-step explanation: In this problem, we're given a diagram and we're asked to find the value of x. Since the two lines in the figure intersect, we know that they form vertical angles and remember that vertical angles are always congruent.
Therefore, since we know that one angle measures 60° and the other angle measures (2x + 20)°, we can setup the equation 60 = 2x + 20.
Solving from here, we subtract 20 from both sides to get
40 = 2x and dividing both sides by 2, 20 = x.
So the value of x is 20.
