Answer: [tex]144^{\circ}[/tex]
Step-by-step explanation:
In the given figure , we have given a parallelogram .
We know that the opposite sides and angles of a parallelogram are equal.
Thus from the given parallelogram PORS we have
[tex]\angle {Q}=\angle {S}\\\\\Rightarrow\ (4\alpha-12)^{\circ}=3\alpha^{\circ}\\\\\Rightarrow\ 4\alpha-12=3\alpha\\\\\Rightarrow 4\alpha-3\alpha=12\\\\\Rightarrow\ \alpha=12[/tex]
Also, the value of angle p is given by :-
[tex]\angle {P}=12\alpha^{\circ}\\\\\Riightarrow\ \angle {P}=12(12)^{\circ}\\\\\Riightarrow\ \angle {P}=144^{\circ}[/tex]
