Question

Help figuring the form of linear pair and finding m

Answer 1

Since the form a linear pair, it means that we can add them to make the complete angle.

However, as we can see, the two angles to gether make a straight line, so the angles ABD and CBD are supplementary, that is, their sum is 180°:

$\begin{gathered} \angle ABD+\angle CBD=180\degree \\ \angle ABD+135\degree=180\degree \\ \angle ABD=180\degree-135\degree \\ \angle ABD=45\degree \end{gathered}$