Answer:
The measure of angle 2 is;
[tex]m\measuredangle2=45^{\circ}[/tex]Explanation:
Given the figure in the attached image;
angles 1 and 2 are both interior angles, so they both sum up to 180 degrees.
[tex]m\measuredangle1+m\measuredangle2=180^{\circ}[/tex]given the measure of angle 1;
[tex]m\measuredangle1=135^{\circ}[/tex]substituting the measure of angle 1;
[tex]\begin{gathered} 135+m\measuredangle2=180 \\ m\measuredangle2=180-135 \\ m\measuredangle2=45^{\circ} \end{gathered}[/tex]The measure of angle 2 is;
[tex]m\measuredangle2=45^{\circ}[/tex]