Answer:
The value of p is 6
Step-by-step explanation:
we know that
In a parallelogram opposite angles are congruent
so
In the parallelogram ABCD
m∠A=m∠C ----> equation A
m∠B=m∠D ----> equation B
we have
m∠A=(4p+12)°
m∠C=36°
substitute the given values in equation A and solve for p
[tex](4p+12)\°=36\°[/tex]
[tex]4p=36-12[/tex]
[tex]4p=24[/tex]
[tex]p=6[/tex]
