Answer:
[tex]p=36^{\circ}[/tex]
Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].
Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].
We combine like terms on the left side to get [tex]p+144=180[/tex].
We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].
So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!
