Angle 1 measures 25 degrees
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. In that figure, we know that:
[tex]\angle 1=? \\ \\ \angle 2=155^{\circ}[/tex]
The figure shows that these two angles are supplementary, so they add up to 180 degrees. Therefore:
[tex]\angle 1+\angle 2=180^{\circ} \\ \\ Substituting \ \angle 2=155^{\circ}: \\ \\ \angle 1+155^{\circ}=180^{\circ} \\ \\ \\ Isolating \ \angle 1: \\ \\ \angle 1=180^{\circ}-155^{\circ} \\ \\ \boxed{\angle 1=25^{\circ}}[/tex]