Final answer:
In triangle XYZ, if angle X is 138 degrees, the triangle is an obtuse triangle.
Step-by-step explanation:
A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. In triangle XYZ, if angle X is 138 degrees, we can determine the type of triangle based on the measure of angle X.
Since angle X is greater than 90 degrees, triangle XYZ is an obtuse triangle. An obtuse triangle has one angle greater than 90 degrees.