One of the 4 angles formed at the intersection of 2 straight lines is 260 less than the sum of all the others.

The task does not contain information about the required. Judging by the description of the data, for sure, the compilers of the task wanted to know the degree measures of all the angles formed at the intersection of two straight lines.
Since the sum of all four angles at the intersection of two straight lines is 360 °, the angle that is 260 ° less than the sum of all the others will be equal to the difference between 360 ° and 260 °, that is, it is equal to 360 ° – 260 ° = 100 °, therefore, the vertical angle is also 100 °.
The sum of adjacent angles is 180 degrees. Therefore, each of the adjacent angles is 180 ° – 100 ° = 80 °.
Answer: 100 °; 80 °; 100 ° and 80 °.