Final answer:
To construct Triangle LMN, start by drawing LN = 4cm as the base. From point L, draw a line segment LM at an angle of 39 degrees, and from point N, draw MN at an angle of 80 degrees. This creates an obtuse triangle.
Step-by-step explanation:
To construct Triangle LMN, we can start by drawing LN = 4cm as the base of the triangle. From point L, we can draw a line segment LM at an angle of 39 degrees. Then, from point N, we can draw a line segment MN at an angle of 80 degrees. The triangle created by these constructions will be an obtuse triangle because it has one angle greater than 90 degrees.