Answer:
117°
Explanation:
Start by finding the measure of the angle adjacent to the one marked 101 degrees. Since they are a linear pair, they add up to 180 therefore...
101+y=180
Subtract 101 from both sides...
y=79
Now, using the exterior angle theorem (the exterior angle is equivalent to the sum of the two interior angles that are NOT adjacent to the exterior angle), we can set up an equation to find x...
x=38+79
x=117