The angle 1 and 2 forms the linear pair.
[tex]\begin{gathered} \angle1+\angle2=180^{\circ} \\ (x-15)^{\circ}+4x^{\circ}=180^{\circ} \\ 5x=195 \\ x=39 \end{gathered}[/tex]
The value of angle 1 and 2 can be determined as,
[tex]\begin{gathered} \angle1=x-15 \\ =39^{\circ}-15^{\circ} \\ =24^{\circ} \\ \angle2=4\times39 \\ =156^{\circ} \end{gathered}[/tex]
Thus, value of angle 1 is 24 degrees and angle 2 is 156 degrees.
