Question

If m∠CDB = 60° and m∠DBC = 50°, then:m∠DBA = m∠DAB =

Answer 1

m∠DBA = 50 degrees​

m∠DAB = 70 degrees

Step-by-step explanation:

The given angles are highlighted in the diagram below:

The diagonal bisects the angle at each vertex, therefore:

`m\angle\text{DBA}=50\degree`

In Triangle DAB

`\begin{gathered} m\angle\text{DAB}+m\angle\text{ADB}+m\angle\text{DBA}=180\degree \\ m\angle\text{DAB}+60\degree+50\degree=180\degree \\ m\angle\text{DAB}+110\degree=180\degree \\ m\angle\text{DAB}=180\degree-110\degree \\ m\angle\text{DAB}=70\degree \end{gathered}`