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:
![(32º+x)+48º=180º](https://img.qammunity.org/2023/formulas/mathematics/college/n6wznqf983atfqn5nx6kj3ywirkavxf9ee.png)
From this expression, you can determine the value of x.
-First erase the parentheses, order the like terms together and simplify them:
![\begin{gathered} 32º+48º+x=180º \\ 80º+x=180º \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/43rb86zurah6nzv26g2ygsnsk3wt1zy2l3.png)
-Subtract 80º from both sides of the equation
![\begin{gathered} 80º-80º+x=180º-80º \\ x=100º \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/udidhjzcymibdtetej5h09nhnaskpse0ip.png)