Final answer:
The measure of angle x is 83 degrees.
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180 degrees. In this case, angle y measures 97 degrees. Since angle x and angle y are supplementary, we can use the formula:
Angle x + Angle y = 180 degrees
Substituting the given value of angle y, we have:
Angle x + 97 degrees = 180 degrees
Now we can solve for angle x by subtracting 97 degrees from both sides of the equation:
Angle x = 180 degrees - 97 degrees
Angle x = 83 degrees