The solution to the question is given below.
The sum of the measure of the angles on the line is equal to 180 degrees.
This is because angles on a line are supplementary.
[tex]\begin{gathered} 2x+26+x+13=180 \\ 3x+39=180| \\ 3x=180-39 \\ 3x=141 \\ x=47^0 \end{gathered}[/tex]
The value of x is 47.
We will use this to find the measure of each angle
[tex]\begin{gathered} 2x+26=2(47)+26=120^0 \\ x+13=47+13=60^0 \end{gathered}[/tex]
Therefore, the measures of the angles are 120 degrees and 60 degrees respectively.
