According to the given problem,
[tex]\begin{gathered} \angle2=2\angle1 \\ \angle ABD=85^{\circ} \end{gathered}[/tex]From the diagram, it is observed that the angles 1 and angle 2, together constitute the angle ABD.
Therefore it follows that,
[tex]\angle ABD=\angle1+\angle2[/tex]Substitute the values and simplify the equation obtained,
[tex]\begin{gathered} 85=\angle1+2\angle1 \\ 3\angle1=85 \\ \angle1=\frac{85}{3} \\ \angle1\approx28.33^{\circ} \end{gathered}[/tex]Thus, the angle 1 measures approximately 28.33 degrees.
