What is the sum of the measures of the interior angles at vertex I and vertex J ?

The sum of the measures of the interior angles at any vertex in a polygon is always 180 degrees. Therefore, the sum of the measures of the interior angles at vertex I and vertex J is 180 degrees.

To find the sum of the measures of the interior angles at vertex I and vertex J, we need to know the type of polygon or figure that is being referred to. Could you please provide more information about the figure?

To determine the sum of the measures of the interior angles at vertex I and vertex J, we need to know the type of polygon or shape in which these vertices are located. Without that information, it is not possible to provide a specific answer.

If you have a diagram or additional context, please provide it so that I can assist you further in determining the sum of the measures of the interior angles at vertex I and vertex J.