How can u find missing angles measurements in supplementary angles?

First, let's remember the definition of a supplementary angle
A supplementary angle is an angle with which a straight angle is formed. That is, two angles are supplementary if their sum is 180º
We have two angles, the angle
The angle [tex]\begin{gathered} <\text{ABD}+<\text{CBD}=180 \\ <\text{ABD}+92.1=180- \\ <\text{ABD}=180-92.1 \\ <\text{ABD}=87.9 \end{gathered}[/tex]
In conclusion, the answer is 87.9°
The lines are what form the angles for us, where the supplementary angle, in this case, the angle