Question

what is the value of p? p 72° 54°

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is $360^{\circ}$.

Step2: Set up the equation

Let the unknown angle be $p$. Then $p + 72^{\circ}+54^{\circ}+ 180^{\circ}=360^{\circ}$ (the $180^{\circ}$ comes from the straight - line part of the angles around the point).

Step3: Simplify the equation

$p+306^{\circ}=360^{\circ}$.

Step4: Solve for $p$

$p = 360^{\circ}-306^{\circ}=54^{\circ}$.

Answer:

$54$