Question

Find the unknown angle measure y if LABD and LDBC are supplementary

Answer 1

Since the angles ABD and DBC are supplementary angles, then:

$m\angle ABD+m\angle BDC=180$

Substitute the given values for those angles and solve for Y:

$\begin{gathered} \Rightarrow152+y=180 \\ \Rightarrow y=180-152 \\ \Rightarrow y=28 \end{gathered}$

Therefore, the answer is:

$y=28^{\circ}$