Answer:
117 degrees
Step-by-step explanation:
Here, we need to use the fact that there is 180 degrees in each triangle. Let's first find the angle that is supplementary to the angle labelled 101 degrees.
Because these two angles are supplementary, they add up to 180, so we can find that interior angle by subtracting 101 from 180: 180 - 101 = 79 degrees.
Now, we know two angles in the triangle: 38 degrees and the one we just found, 79 degrees. To find the third angle, we just subtract 38 and 79 from 180 (because all angles in a triangle add up to 180): 180 - 38 - 79 = 63 degrees.
Notice that this angle that is 63 degrees is actually the supplementary angle if x, so simply subtract 63 from 180 to get x: 180 - 63 = 117 degrees.
Hope this helps!
