Answer: 25
Step-by-step explanation: In this problem, we're given a diagram and were 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, or of equal measure.
Therefore, since we know that one angle measures 75° and the other angles measures 3x°, we can setup the equation 75 = 3x.
To get x by itself since 3 is being multiplied by x,
divide both sides of the equation by 3.
On the left, 75 divided by 3 is 25
and on the right, the 3's cancel.
So the value of x in the diagram shown is 25.