The angles shown in the picture are over the same horizontal line and share a vertex and one side. These angles are a line pair, which means that they are supplementary, you can write the following expression:
[tex](32º+x)+48º=180º[/tex]From this expression, you can determine the value of x.
-First erase the parentheses, order the like terms together and simplify them:
[tex]\begin{gathered} 32º+48º+x=180º \\ 80º+x=180º \end{gathered}[/tex]-Subtract 80º from both sides of the equation
[tex]\begin{gathered} 80º-80º+x=180º-80º \\ x=100º \end{gathered}[/tex]