EXPLANATION:
We are given a triangle DEF with the following angle measures;
[tex]\begin{gathered} \angle F=122\degree \\ \angle E=32\degree \end{gathered}[/tex]We can describe this as shown below;
Note that the angles in a triangle sum up to 180 degrees.
We would therefore have the following;
[tex]\angle D+\angle E+\angle F=180[/tex][tex]\angle D+32+122=180[/tex][tex]\angle D+154=180[/tex]Subtract 154 from both sides;
[tex]\angle D+154-154=180-154[/tex][tex]\angle D=26\degree[/tex]ANSWER:
The measure of angle D is;
[tex]\angle D=26\degree[/tex]
