In triangle JKL, we know that it is isosceles. This means two of its angles are equal. The given measures are:
- Angle J = 72°
- Angle K = 36°
Since the sum of the angles in any triangle is 180°, we can calculate angle L:
\[ \text{Angle L} = 180° - \text{Angle J} - \text{Angle K} = 180° - 72° - 36° = 72° \]
Now, since angle L measures 72° and angle J also measures 72°, angles J and L are equal, and therefore they are the base angles of the isosceles triangle, while angle K (36°) is the vertex angle.
Thus, the correct statement about angle L is:
Angle L is a base angle and measures 72°.