Triangle jkl is isosceles. the measure of angle j is 72° and the measure of angle k is 36°. which statement describes angle l? angle l is a base angle and measures 36°. angle l is a base angle and measures 72°. angle l is a vertex angle and measures 36°. angle l is a vertex angle and measures 72°.

The sum of the measures of the triangles are known to be always equal to 180 degrees. In this item, we are given that angle J is equal to 72 degrees, angle K is equal to 36 degrees. If we let mK be the measure of the angle then, we can express the sum as,      180 = 72 + 36 + mK
The value of mK from the equation is 72 degrees. Since this is equal to J then, it is also a base angle. 
Then, the answer to the question is the second choice. 
 

I believe the answer is the second choice