Given data:
The given image of the triangle.
The expression for the supplementary angle is,
[tex]\begin{gathered} m\angle3+92^{\circ}=180^{\circ} \\ m\angle3=88^{\circ} \\ m\angle2+100^{\circ}=180^{\circ} \\ m\angle2=80^{\circ} \end{gathered}[/tex]
The measurement of the angle 1 is,
[tex]\begin{gathered} m\angle1+m\angle2+m\angle3=180^{\circ} \\ m\angle1+80^{\circ}+88^{\circ}=180^{\circ} \\ m\angle1=12^{\circ} \end{gathered}[/tex]
The angle 4 is,
[tex]\begin{gathered} m\angle4=180^{\circ}-12^{\circ} \\ =168^{\circ} \end{gathered}[/tex]
Thus, the angle 1 is 12 degrees, angle 2 is 80 degrees, angle 3 is 88 degrees and angle 4 is 168 degrees.
