Respuesta :

we can see that

We know that, in a parallelogram the opposite angles are equal to each other, this means that

[tex]66=19+ADB[/tex]

hence, we have that

[tex]\begin{gathered} \text{ADB}=66-19 \\ \text{ADB}=47 \end{gathered}[/tex]

Now, from the figure, we can see that, in the triangle ADB, we know angle ADB=47 and angle DAB=78.

Since all interior angles of a triangle add up 180, we have

[tex]47+78+\text{ABD}=180[/tex]

and from this equality, we can find angle ABD. It yields

[tex]\begin{gathered} 125+\text{ABD}=180 \\ \text{ABD}=180-125 \\ \text{ABD}=55 \end{gathered}[/tex]

hence, the answer is ABD=55 degrees

Ver imagen MatviyD528817